Least Common Multiple of 338, 152, 695, 513, 784

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 338, 152, 695, 513, 784 i.e. 47239461360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 338, 152, 695, 513, 784 is 47239461360.

LCM(338, 152, 695, 513, 784) = 47239461360

LCM of 338, 152, 695, 513, 784

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

LCM of:

Least Common Multiple of 338,152,695,513,784

Least Common Multiple (LCM) of 338,152,695,513,784 is 47239461360

2 338, 152, 695, 513, 784
2 169, 76, 695, 513, 392
2 169, 38, 695, 513, 196
19 169, 19, 695, 513, 98
169, 1, 695, 27, 98

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 169 x 1 x 695 x 27 x 98 = 47239461360

Least Common Multiple of 338,152,695,513,784 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 338,152,695,513,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,152,695,513,784) = 1

common factors(in case of two or more numbers have common factors) = 304

GCF(338,152,695,513,784) x common factors =1 x 304 = 304

LCM(338,152,695,513,784) = ( 338 × 152 × 695 × 513 × 784 ) / 304

LCM(338,152,695,513,784) = 14360796253440 / 304

LCM(338,152,695,513,784) = 47239461360

∴ Least Common Multiple of 338,152,695,513,784 is 47239461360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 338, 152, 695, 513, 784

1. What is the LCM of 338, 152, 695, 513, 784?

Answer: LCM of 338, 152, 695, 513, 784 is 47239461360.

2. What are the Factors of 47239461360?

Answer: Factors of 47239461360 are . There are integers that are factors of 47239461360

3. How to Find the LCM of 338, 152, 695, 513, 784 ?

Least Common Multiple of 338, 152, 695, 513, 784.

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(338, 152, 695, 513, 784) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 13 x 13 x 19 x 139 = 47239461360.