What is the LCM of 119 and 153 - Find out answer step by step

What is LCM?

In mathematics, least common multiple, which is ordinarily reffered to as LCM is characterized as the smallest non-zero number which is divisible by both given numbers 119 and 153.

Properties of LCM

The LCM of two given numbers is never less than any of those numbers. Eg- LCM of 119 and 153 is 1071, where 119 and 153 are less than 1071.
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(119, 153) = LCM(153, 119).
LCM is distributive, which means LCM(ab, bc, ad) = d * LCM(x, y, z).

Steps to find lcm of 119 and 153 by Listing Method

Find some first multiples of 119 and 153.
Find the least common multiple, and read off the answer!

Example: Find lcm of 119 and 153 by Listing Method

Multiples of 119: 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190, 1309, 1428, 1547, 1666, 1785, 1904, 2023, 2142, 2261, 2380, 2499, 2618, 2737, 2856, 2975, 3094, 3213, 3332, 3451, 3570, 3689, 3808, 3927, 4046, 4165, 4284, 4403, 4522, 4641, 4760, 4879, 4998, 5117, 5236, 5355, 5474, 5593, 5712, 5831, 5950, 6069, 6188, 6307, 6426, 6545, 6664, 6783, 6902, 7021, 7140, 7259, 7378, 7497, 7616, 7735, 7854, 7973, 8092, 8211, 8330, 8449, 8568, 8687, 8806, 8925, 9044, 9163, 9282, 9401, 9520, 9639, 9758, 9877, 9996, 10115, 10234, 10353, 10472, 10591, 10710, 10829, 10948, 11067, 11186, 11305, 11424, 11543, 11662, 11781, 11900, 12019, 12138, 12257, 12376, 12495, 12614, 12733, 12852, 12971, 13090, 13209, 13328, 13447, 13566, 13685, 13804, 13923, 14042, 14161, 14280, 14399, 14518, 14637, 14756, 14875, 14994, 15113, 15232, 15351, 15470, 15589, 15708, 15827, 15946, 16065, 16184, 16303, 16422, 16541, 16660, 16779, 16898, 17017, 17136, 17255, 17374, 17493, 17612, 17731, 17850, 17969, 18088, 18207
Multiples of 153: 153, 306, 459, 612, 765, 918, 1071, 1224, 1377, 1530, 1683, 1836, 1989, 2142, 2295, 2448, 2601, 2754, 2907, 3060, 3213, 3366, 3519, 3672, 3825, 3978, 4131, 4284, 4437, 4590, 4743, 4896, 5049, 5202, 5355, 5508, 5661, 5814, 5967, 6120, 6273, 6426, 6579, 6732, 6885, 7038, 7191, 7344, 7497, 7650, 7803, 7956, 8109, 8262, 8415, 8568, 8721, 8874, 9027, 9180, 9333, 9486, 9639, 9792, 9945, 10098, 10251, 10404, 10557, 10710, 10863, 11016, 11169, 11322, 11475, 11628, 11781, 11934, 12087, 12240, 12393, 12546, 12699, 12852, 13005, 13158, 13311, 13464, 13617, 13770, 13923, 14076, 14229, 14382, 14535, 14688, 14841, 14994, 15147, 15300, 15453, 15606, 15759, 15912, 16065, 16218, 16371, 16524, 16677, 16830, 16983, 17136, 17289, 17442, 17595, 17748, 17901, 18054, 18207

Hence, LCM of 119 and 153 is 1071.

Steps to find LCM of 119 and 153 by Common Division Method

Find all the prime numbers that would divide 119 and 153 without leaving any remainder.
Multiply the numbers obtained in step 1, and read off the answer!

Example: Find lcm of 119 and 153 by Common Division Method

3	119 153
3	119 51
7	119 17
17	17 17
	1 1

Hence, LCM of 119 and 153 is 3 x 3 x 7 x 17 = 1071.

Steps to find lcm of 119 and 153 by Formula

The formula for LCM is LCM (119, 153) = (119 x 153) / GCF (119, 153)
Apply the formula, and read off the answer!

Example: Find lcm of 119 and 153 by Formula

GCF of 119 and 153 = 17
LCM of 119 and 153 = (119 x 153) / 17
=> 18207 / 17

Hence, LCM of 119 and 153 is 1071.

Examples

Franky and Joy are running on a circular track. They start at the same time. They take 119 and 153 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 119 and 153 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 119 and 153.
So, LCM of 119 and 153 is 1071.

Boxes that are 119 inches tall are being pilled next to boxes that are 153 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 119 and 153.
So, LCM of 119 and 153 is 1071.

Sammy's company prints 119 textbooks at a time. Daniel's company prints textbooks in sets of 153 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 119 and 153.
So, LCM of 119 and 153 is 1071.

Ariel exercises every 119 days and Rubel every 153 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 119 and 153 is 1071.

Find the LCM of 119 and 153 using GCF method.

Greatest common factor or gcf of 119 and 153 is GCF(119, 153) x LCM(119, 153) = (119 x 153) / GCF(119, 153) = 1071.

Find the least common multiple of 119 and 153.

Least common multiple of 119 and 153 is 1071.

Find the least number which is exactly divisible by 119 and 153.

Least number which is exactly divisible by 119 and 153 is 1071.

What is LCM of 119 and 153?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 119 and 153 by Listing Method

Example: Find lcm of 119 and 153 by Listing Method

Steps to find LCM of 119 and 153 by Common Division Method

Example: Find lcm of 119 and 153 by Common Division Method

Steps to find lcm of 119 and 153 by Formula

Example: Find lcm of 119 and 153 by Formula

Examples

What is LCM of 119 and 153?

How to find lcm of two numbers

What is LCM?

Properties of LCM

Steps to find lcm of 119 and 153 by Listing Method

Example: Find lcm of 119 and 153 by Listing Method

Steps to find LCM of 119 and 153 by Common Division Method

Example: Find lcm of 119 and 153 by Common Division Method

Steps to find lcm of 119 and 153 by Formula

Example: Find lcm of 119 and 153 by Formula

Examples

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