Least Common Multiple of 339, 816, 237, 510, 740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 339, 816, 237, 510, 740 i.e. 1347619920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 339, 816, 237, 510, 740 is 1347619920.

LCM(339, 816, 237, 510, 740) = 1347619920

LCM of 339, 816, 237, 510, 740

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 339,816,237,510,740

Least Common Multiple (LCM) of 339,816,237,510,740 is 1347619920

2 339, 816, 237, 510, 740
2 339, 408, 237, 255, 370
3 339, 204, 237, 255, 185
5 113, 68, 79, 85, 185
17 113, 68, 79, 17, 37
113, 4, 79, 1, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 113 x 4 x 79 x 1 x 37 = 1347619920

Least Common Multiple of 339,816,237,510,740 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 339,816,237,510,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,816,237,510,740) = 1

common factors(in case of two or more numbers have common factors) = 18360

GCF(339,816,237,510,740) x common factors =1 x 18360 = 18360

LCM(339,816,237,510,740) = ( 339 × 816 × 237 × 510 × 740 ) / 18360

LCM(339,816,237,510,740) = 24742301731200 / 18360

LCM(339,816,237,510,740) = 1347619920

∴ Least Common Multiple of 339,816,237,510,740 is 1347619920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 339, 816, 237, 510, 740

1. What is the LCM of 339, 816, 237, 510, 740?

Answer: LCM of 339, 816, 237, 510, 740 is 1347619920.

2. What are the Factors of 1347619920?

Answer: Factors of 1347619920 are . There are integers that are factors of 1347619920

3. How to Find the LCM of 339, 816, 237, 510, 740 ?

Least Common Multiple of 339, 816, 237, 510, 740.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(339, 816, 237, 510, 740) = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 37 x 79 x 113 = 1347619920.