What is the LCM of 122 and 16 - 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 122 and 16

Properties of LCM

LCM follows associative property, that means LCM(122, 16) = LCM(16, 122).
LCM follows commutative property, which means LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).
LCM follows distributive property, which means LCM(ab, bc, ad) = d * LCM(x, y, z).
The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 122 and 16 is 976, where 122 and 16 are less than 976.
The LCM of two or more prime numbers is their product.

Steps to find lcm of 122 and 16 by Listing Method

Find some first multiples of 122 and 16.
Find the least common multiple, and read off the answer!

Example: Find lcm of 122 and 16 by Listing Method

Multiples of 122: 122, 244, 366, 488, 610, 732, 854, 976, 1098, 1220, 1342, 1464, 1586, 1708, 1830, 1952
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432, 448, 464, 480, 496, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688, 704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, 912, 928, 944, 960, 976, 992, 1008, 1024, 1040, 1056, 1072, 1088, 1104, 1120, 1136, 1152, 1168, 1184, 1200, 1216, 1232, 1248, 1264, 1280, 1296, 1312, 1328, 1344, 1360, 1376, 1392, 1408, 1424, 1440, 1456, 1472, 1488, 1504, 1520, 1536, 1552, 1568, 1584, 1600, 1616, 1632, 1648, 1664, 1680, 1696, 1712, 1728, 1744, 1760, 1776, 1792, 1808, 1824, 1840, 1856, 1872, 1888, 1904, 1920, 1936, 1952

Hence, LCM of 122 and 16 is 976.

Steps to find LCM of 122 and 16 by Common Division Method

Find all the prime numbers that would divide 122 and 16 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 122 and 16 by Common Division Method

2	122 16
2	61 8
2	61 4
2	61 2
61	61 1
	1 1

Hence, LCM of 122 and 16 is 2 x 2 x 2 x 2 x 61 = 976.

Steps to find lcm of 122 and 16 by Formula

The formula for LCM is LCM (122, 16) = (122 x 16) / GCF (122, 16)
Apply the formula, and read off the answer!

Example: Find lcm of 122 and 16 by Formula

GCF of 122 and 16 = 2
LCM of 122 and 16 = (122 x 16) / 2
=> 1952 / 2

Hence, LCM of 122 and 16 is 976.

Examples

A shopkeeper sells candies in packet of 122 and chocolates in packet of 16. 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 122 and 16.
So, LCM of 122 and 16 is 976.

Both the cricket team and the rugby team had games, today. The cricket team plays every 122 days and the basketball team plays every 16 days. When will both teams have games on the same day again?

Given that the cricket team plays every 122 days and the basketball team plays every 16 days, so for finding the next time when both teams will play again we need to find the LCM of 122 and 16.
So, LCM of 122 and 16 is 976.

Steve spends 122 dollars every day while George spends 16 dollars every day. What is the least number of days it will take each person to spend the same amount of money?

To find the least number of days that would be taken to be able to spend the same amount of dollars we need to find the LCM of 122 and 16.
So, LCM of 122 and 16 is 976.

Sammy's company prints 122 textbooks at a time. Daniel's company prints textbooks in sets of 16 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 122 and 16.
So, LCM of 122 and 16 is 976.

Ariel exercises every 122 days and Rubel every 16 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 122 and 16 is 976.

Find the least common multiple of 122 and 16.

Least common multiple of 122 and 16 is 976.

Find the least number which is exactly divisible by 122 and 16.

Least number which is exactly divisible by 122 and 16 is 976.

What is LCM of 122 and 16?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 122 and 16 by Listing Method

Example: Find lcm of 122 and 16 by Listing Method

Steps to find LCM of 122 and 16 by Common Division Method

Example: Find lcm of 122 and 16 by Common Division Method

Steps to find lcm of 122 and 16 by Formula

Example: Find lcm of 122 and 16 by Formula

Examples

What is LCM of 122 and 16?

How to find lcm of two numbers

How do we define LCM?

Properties of LCM

Steps to find lcm of 122 and 16 by Listing Method

Example: Find lcm of 122 and 16 by Listing Method

Steps to find LCM of 122 and 16 by Common Division Method

Example: Find lcm of 122 and 16 by Common Division Method

Steps to find lcm of 122 and 16 by Formula

Example: Find lcm of 122 and 16 by Formula

Examples

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