Least Common Multiple of 355, 735, 854, 196, 342

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 355, 735, 854, 196, 342 i.e. 725788980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 355, 735, 854, 196, 342 is 725788980.

LCM(355, 735, 854, 196, 342) = 725788980

LCM of 355, 735, 854, 196, 342

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

LCM of:

Least Common Multiple of 355,735,854,196,342

Least Common Multiple (LCM) of 355,735,854,196,342 is 725788980

2 355, 735, 854, 196, 342
3 355, 735, 427, 98, 171
5 355, 245, 427, 98, 57
7 71, 49, 427, 98, 57
7 71, 7, 61, 14, 57
71, 1, 61, 2, 57

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 7 x 71 x 1 x 61 x 2 x 57 = 725788980

Least Common Multiple of 355,735,854,196,342 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 355,735,854,196,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,735,854,196,342) = 1

common factors(in case of two or more numbers have common factors) = 20580

GCF(355,735,854,196,342) x common factors =1 x 20580 = 20580

LCM(355,735,854,196,342) = ( 355 × 735 × 854 × 196 × 342 ) / 20580

LCM(355,735,854,196,342) = 14936737208400 / 20580

LCM(355,735,854,196,342) = 725788980

∴ Least Common Multiple of 355,735,854,196,342 is 725788980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 355, 735, 854, 196, 342

1. What is the LCM of 355, 735, 854, 196, 342?

Answer: LCM of 355, 735, 854, 196, 342 is 725788980.

2. What are the Factors of 725788980?

Answer: Factors of 725788980 are . There are integers that are factors of 725788980

3. How to Find the LCM of 355, 735, 854, 196, 342 ?

Least Common Multiple of 355, 735, 854, 196, 342.

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(355, 735, 854, 196, 342) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 19 x 61 x 71 = 725788980.