What is the LCM of 32 and 484 - Find out answer step by step

How do we define LCM?

LCM, abbreviation for least common multiple, is defined as the smallest number that is the product of two or more numbers 32 and 484

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 32 and 484 is 3872, where 32 and 484 are less than 3872.
LCM is associative which means LCM(32, 484) = LCM(484, 32).
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two or more prime numbers is their product.

Steps to find lcm of 32 and 484 by Listing Method

Find some first multiples of 32 and 484.
Find the least common multiple, and read off the answer!

Example: Find lcm of 32 and 484 by Listing Method

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056, 1088, 1120, 1152, 1184, 1216, 1248, 1280, 1312, 1344, 1376, 1408, 1440, 1472, 1504, 1536, 1568, 1600, 1632, 1664, 1696, 1728, 1760, 1792, 1824, 1856, 1888, 1920, 1952, 1984, 2016, 2048, 2080, 2112, 2144, 2176, 2208, 2240, 2272, 2304, 2336, 2368, 2400, 2432, 2464, 2496, 2528, 2560, 2592, 2624, 2656, 2688, 2720, 2752, 2784, 2816, 2848, 2880, 2912, 2944, 2976, 3008, 3040, 3072, 3104, 3136, 3168, 3200, 3232, 3264, 3296, 3328, 3360, 3392, 3424, 3456, 3488, 3520, 3552, 3584, 3616, 3648, 3680, 3712, 3744, 3776, 3808, 3840, 3872, 3904, 3936, 3968, 4000, 4032, 4064, 4096, 4128, 4160, 4192, 4224, 4256, 4288, 4320, 4352, 4384, 4416, 4448, 4480, 4512, 4544, 4576, 4608, 4640, 4672, 4704, 4736, 4768, 4800, 4832, 4864, 4896, 4928, 4960, 4992, 5024, 5056, 5088, 5120, 5152, 5184, 5216, 5248, 5280, 5312, 5344, 5376, 5408, 5440, 5472, 5504, 5536, 5568, 5600, 5632, 5664, 5696, 5728, 5760, 5792, 5824, 5856, 5888, 5920, 5952, 5984, 6016, 6048, 6080, 6112, 6144, 6176, 6208, 6240, 6272, 6304, 6336, 6368, 6400, 6432, 6464, 6496, 6528, 6560, 6592, 6624, 6656, 6688, 6720, 6752, 6784, 6816, 6848, 6880, 6912, 6944, 6976, 7008, 7040, 7072, 7104, 7136, 7168, 7200, 7232, 7264, 7296, 7328, 7360, 7392, 7424, 7456, 7488, 7520, 7552, 7584, 7616, 7648, 7680, 7712, 7744, 7776, 7808, 7840, 7872, 7904, 7936, 7968, 8000, 8032, 8064, 8096, 8128, 8160, 8192, 8224, 8256, 8288, 8320, 8352, 8384, 8416, 8448, 8480, 8512, 8544, 8576, 8608, 8640, 8672, 8704, 8736, 8768, 8800, 8832, 8864, 8896, 8928, 8960, 8992, 9024, 9056, 9088, 9120, 9152, 9184, 9216, 9248, 9280, 9312, 9344, 9376, 9408, 9440, 9472, 9504, 9536, 9568, 9600, 9632, 9664, 9696, 9728, 9760, 9792, 9824, 9856, 9888, 9920, 9952, 9984, 10016, 10048, 10080, 10112, 10144, 10176, 10208, 10240, 10272, 10304, 10336, 10368, 10400, 10432, 10464, 10496, 10528, 10560, 10592, 10624, 10656, 10688, 10720, 10752, 10784, 10816, 10848, 10880, 10912, 10944, 10976, 11008, 11040, 11072, 11104, 11136, 11168, 11200, 11232, 11264, 11296, 11328, 11360, 11392, 11424, 11456, 11488, 11520, 11552, 11584, 11616, 11648, 11680, 11712, 11744, 11776, 11808, 11840, 11872, 11904, 11936, 11968, 12000, 12032, 12064, 12096, 12128, 12160, 12192, 12224, 12256, 12288, 12320, 12352, 12384, 12416, 12448, 12480, 12512, 12544, 12576, 12608, 12640, 12672, 12704, 12736, 12768, 12800, 12832, 12864, 12896, 12928, 12960, 12992, 13024, 13056, 13088, 13120, 13152, 13184, 13216, 13248, 13280, 13312, 13344, 13376, 13408, 13440, 13472, 13504, 13536, 13568, 13600, 13632, 13664, 13696, 13728, 13760, 13792, 13824, 13856, 13888, 13920, 13952, 13984, 14016, 14048, 14080, 14112, 14144, 14176, 14208, 14240, 14272, 14304, 14336, 14368, 14400, 14432, 14464, 14496, 14528, 14560, 14592, 14624, 14656, 14688, 14720, 14752, 14784, 14816, 14848, 14880, 14912, 14944, 14976, 15008, 15040, 15072, 15104, 15136, 15168, 15200, 15232, 15264, 15296, 15328, 15360, 15392, 15424, 15456, 15488
Multiples of 484: 484, 968, 1452, 1936, 2420, 2904, 3388, 3872, 4356, 4840, 5324, 5808, 6292, 6776, 7260, 7744, 8228, 8712, 9196, 9680, 10164, 10648, 11132, 11616, 12100, 12584, 13068, 13552, 14036, 14520, 15004, 15488

Hence, LCM of 32 and 484 is 3872.

Steps to find LCM of 32 and 484 by Common Division Method

Find all the prime numbers that would divide 32 and 484 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 32 and 484 by Common Division Method

2	32 484
2	16 242
2	8 121
2	4 121
2	2 121
11	1 121
11	1 11
	1 1

Hence, LCM of 32 and 484 is 2 x 2 x 2 x 2 x 2 x 11 x 11 = 3872.

Steps to find lcm of 32 and 484 by Formula

The formula for LCM is LCM (32, 484) = (32 x 484) / GCF (32, 484)
Apply the formula, and read off the answer!

Example: Find lcm of 32 and 484 by Formula

GCF of 32 and 484 = 4
LCM of 32 and 484 = (32 x 484) / 4
=> 15488 / 4

Hence, LCM of 32 and 484 is 3872.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 32 and 484 minutes respectively to go round once. Find at what time they will run together?

Franky and Joy are running on a circular track. They take 32 and 484 minutes respectively to go round once. We need to find out at what time (minimum) they will run together again. For this we need to find the LCM of 32 and 484.
So, LCM of 32 and 484 is 3872.

A shopkeeper sells candies in packet of 32 and chocolates in packet of 484. What is the least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate?

The least number of candies and chocolates Annie should buy so that there will be one candy for each chocolate we need to find the lcm of 32 and 484.
So, LCM of 32 and 484 is 3872.

Both the cricket team and the rugby team had games, today. The cricket team plays every 32 days and the basketball team plays every 484 days. When will both teams have games on the same day again?

Given that the cricket team plays every 32 days and the basketball team plays every 484 days, so for finding the next time when both teams will play again we need to find the LCM of 32 and 484.
So, LCM of 32 and 484 is 3872.

Sammy's company prints 32 textbooks at a time. Daniel's company prints textbooks in sets of 484 at a time. According to a survey done by a committee, both companies printed the same number of textbooks last year. Find the least number of books that each company would have printed.

To find the least number of textbooks that each company could have printed we need to find the LCM of 32 and 484.
So, LCM of 32 and 484 is 3872.

Ariel exercises every 32 days and Rubel every 484 days. They both excercised today. How many days will it be until they excercise together again?

The problem can be solved using LCM, because we are trying to figure out the least time until they excercise together again.
So, LCM of 32 and 484 is 3872.

What is the relation between LCM and GCF( Greatest Common Factor)?

Greatest common factors or gcf of 32 and 484 is GCF(32, 484) * LCM(32, 484) = (32 x 484) / GCF(32, 484) = 3872.

Find the least number which is exactly divisible by 32 and 484.

Least number which is exactly divisible by 32 and 484 is 3872.

What is LCM of 32 and 484?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 32 and 484 by Listing Method

Example: Find lcm of 32 and 484 by Listing Method

Steps to find LCM of 32 and 484 by Common Division Method

Example: Find lcm of 32 and 484 by Common Division Method

Steps to find lcm of 32 and 484 by Formula

Example: Find lcm of 32 and 484 by Formula

Examples

What is LCM of 32 and 484?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 32 and 484 by Listing Method

Example: Find lcm of 32 and 484 by Listing Method

Steps to find LCM of 32 and 484 by Common Division Method

Example: Find lcm of 32 and 484 by Common Division Method

Steps to find lcm of 32 and 484 by Formula

Example: Find lcm of 32 and 484 by Formula

Examples

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