Least Common Multiple of 45, 62, 16, 354

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 45, 62, 16, 354 i.e. 1316880 smallest integer divisible by all numbers.

Least common multiple (LCM) of 45, 62, 16, 354 is 1316880.

LCM(45, 62, 16, 354) = 1316880

LCM of 45, 62, 16, 354

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

LCM of:

Least Common Multiple of 45,62,16,354

Least Common Multiple (LCM) of 45,62,16,354 is 1316880

2 45, 62, 16, 354
3 45, 31, 8, 177
15, 31, 8, 59

∴ So the LCM of the given numbers is 2 x 3 x 15 x 31 x 8 x 59 = 1316880

Least Common Multiple of 45,62,16,354 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 45,62,16,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,62,16,354) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(45,62,16,354) x common factors =1 x 12 = 12

LCM(45,62,16,354) = ( 45 × 62 × 16 × 354 ) / 12

LCM(45,62,16,354) = 15802560 / 12

LCM(45,62,16,354) = 1316880

∴ Least Common Multiple of 45,62,16,354 is 1316880

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 45, 62, 16, 354

1. What is the LCM of 45, 62, 16, 354?

Answer: LCM of 45, 62, 16, 354 is 1316880.

2. What are the Factors of 1316880?

Answer: Factors of 1316880 are . There are integers that are factors of 1316880

3. How to Find the LCM of 45, 62, 16, 354 ?

Least Common Multiple of 45, 62, 16, 354.

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(45, 62, 16, 354) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 31 x 59 = 1316880.