What is the LCM of 63 and 210 - Find out answer step by step

What does LCM mean in mathematics?

The least common multiple or LCM of two numbers 63 and 210 is defined as the smallest positive integer which is divisible by both of them. It is represented by LCM(63, 210).

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 63 and 210 is 630, where 63 and 210 are less than 630.
LCM is commutative which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
The LCM of two or more prime numbers is exactly equal to their product.
LCM is associative which means LCM(63, 210) = LCM(210, 63).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 63 and 210 by Listing Method

Find some first multiples of 63 and 210.
Find the least common multiple, and read off the answer!

Example: Find lcm of 63 and 210 by Listing Method

Multiples of 63: 63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756, 819, 882, 945, 1008, 1071, 1134, 1197, 1260, 1323, 1386, 1449, 1512, 1575, 1638, 1701, 1764, 1827, 1890, 1953, 2016, 2079, 2142, 2205, 2268, 2331, 2394, 2457, 2520, 2583, 2646, 2709, 2772, 2835, 2898, 2961, 3024, 3087, 3150, 3213, 3276, 3339, 3402, 3465, 3528, 3591, 3654, 3717, 3780, 3843, 3906, 3969, 4032, 4095, 4158, 4221, 4284, 4347, 4410, 4473, 4536, 4599, 4662, 4725, 4788, 4851, 4914, 4977, 5040, 5103, 5166, 5229, 5292, 5355, 5418, 5481, 5544, 5607, 5670, 5733, 5796, 5859, 5922, 5985, 6048, 6111, 6174, 6237, 6300, 6363, 6426, 6489, 6552, 6615, 6678, 6741, 6804, 6867, 6930, 6993, 7056, 7119, 7182, 7245, 7308, 7371, 7434, 7497, 7560, 7623, 7686, 7749, 7812, 7875, 7938, 8001, 8064, 8127, 8190, 8253, 8316, 8379, 8442, 8505, 8568, 8631, 8694, 8757, 8820, 8883, 8946, 9009, 9072, 9135, 9198, 9261, 9324, 9387, 9450, 9513, 9576, 9639, 9702, 9765, 9828, 9891, 9954, 10017, 10080, 10143, 10206, 10269, 10332, 10395, 10458, 10521, 10584, 10647, 10710, 10773, 10836, 10899, 10962, 11025, 11088, 11151, 11214, 11277, 11340, 11403, 11466, 11529, 11592, 11655, 11718, 11781, 11844, 11907, 11970, 12033, 12096, 12159, 12222, 12285, 12348, 12411, 12474, 12537, 12600, 12663, 12726, 12789, 12852, 12915, 12978, 13041, 13104, 13167, 13230
Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470, 1680, 1890, 2100, 2310, 2520, 2730, 2940, 3150, 3360, 3570, 3780, 3990, 4200, 4410, 4620, 4830, 5040, 5250, 5460, 5670, 5880, 6090, 6300, 6510, 6720, 6930, 7140, 7350, 7560, 7770, 7980, 8190, 8400, 8610, 8820, 9030, 9240, 9450, 9660, 9870, 10080, 10290, 10500, 10710, 10920, 11130, 11340, 11550, 11760, 11970, 12180, 12390, 12600, 12810, 13020, 13230

Hence, LCM of 63 and 210 is 630.

Steps to find LCM of 63 and 210 by Common Division Method

Find all the prime numbers that would divide 63 and 210 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 63 and 210 by Common Division Method

2	63 210
3	63 105
3	21 35
5	7 35
7	7 7
	1 1

Hence, LCM of 63 and 210 is 2 x 3 x 3 x 5 x 7 = 630.

Steps to find lcm of 63 and 210 by Formula

The formula for LCM is LCM (63, 210) = (63 x 210) / GCF (63, 210)
Apply the formula, and read off the answer!

Example: Find lcm of 63 and 210 by Formula

GCF of 63 and 210 = 21
LCM of 63 and 210 = (63 x 210) / 21
=> 13230 / 21

Hence, LCM of 63 and 210 is 630.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 63 and 210 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 63 and 210 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 63 and 210.
So, LCM of 63 and 210 is 630.

Boxes that are 63 inches tall are being pilled next to boxes that are 210 inches tall. What is the least height in feet at which the two piles will be the same height?

To find the least height in feet at which the two piles will be at same height we will find LCM of 63 and 210.
So, LCM of 63 and 210 is 630.

Sammy's company prints 63 textbooks at a time. Daniel's company prints textbooks in sets of 210 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 63 and 210.
So, LCM of 63 and 210 is 630.

Ariel exercises every 63 days and Rubel every 210 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 63 and 210 is 630.

Find the LCM of 63 and 210 using GCF method.

Greatest common factor or gcf of 63 and 210 is GCF(63, 210) x LCM(63, 210) = (63 x 210) / GCF(63, 210) = 630.

Find the least common multiple of 63 and 210.

Least common multiple of 63 and 210 is 630.

Find the least number which is exactly divisible by 63 and 210.

Least number which is exactly divisible by 63 and 210 is 630.

What is LCM of 63 and 210?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 63 and 210 by Listing Method

Example: Find lcm of 63 and 210 by Listing Method

Steps to find LCM of 63 and 210 by Common Division Method

Example: Find lcm of 63 and 210 by Common Division Method

Steps to find lcm of 63 and 210 by Formula

Example: Find lcm of 63 and 210 by Formula

Examples

What is LCM of 63 and 210?

How to find lcm of two numbers

What does LCM mean in mathematics?

Properties of LCM

Steps to find lcm of 63 and 210 by Listing Method

Example: Find lcm of 63 and 210 by Listing Method

Steps to find LCM of 63 and 210 by Common Division Method

Example: Find lcm of 63 and 210 by Common Division Method

Steps to find lcm of 63 and 210 by Formula

Example: Find lcm of 63 and 210 by Formula

Examples

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