Least Common Multiple of 354, 1652

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 354, 1652 i.e. 4956 smallest integer divisible by all numbers.

Least common multiple (LCM) of 354, 1652 is 4956.

LCM(354, 1652) = 4956

LCM of 354, 1652

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

LCM of:

Least Common Multiple of 354,1652

Least Common Multiple (LCM) of 354,1652 is 4956

2 354, 1652
59 177, 826
3, 14

∴ So the LCM of the given numbers is 2 x 59 x 3 x 14 = 4956

Least Common Multiple of 354,1652 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 354,1652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,1652) = 118

common factors(in case of two or more numbers have common factors) = 1

GCF(354,1652) x common factors =118 x 1 = 118

LCM(354,1652) = ( 354 × 1652 ) / 118

LCM(354,1652) = 584808 / 118

LCM(354,1652) = 4956

∴ Least Common Multiple of 354,1652 is 4956

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 354, 1652

1. What is the LCM of 354, 1652?

Answer: LCM of 354, 1652 is 4956.

2. What are the Factors of 4956?

Answer: Factors of 4956 are . There are integers that are factors of 4956

3. How to Find the LCM of 354, 1652 ?

Least Common Multiple of 354, 1652.

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(354, 1652) = 2 x 2 x 3 x 7 x 59 = 4956.