Least Common Multiple of 328, 492, 614, 198, 435

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 328, 492, 614, 198, 435 i.e. 1445491080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 328, 492, 614, 198, 435 is 1445491080.

LCM(328, 492, 614, 198, 435) = 1445491080

LCM of 328, 492, 614, 198, 435

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

LCM of:

Least Common Multiple of 328,492,614,198,435

Least Common Multiple (LCM) of 328,492,614,198,435 is 1445491080

2 328, 492, 614, 198, 435
2 164, 246, 307, 99, 435
3 82, 123, 307, 99, 435
41 82, 41, 307, 33, 145
2, 1, 307, 33, 145

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 2 x 1 x 307 x 33 x 145 = 1445491080

Least Common Multiple of 328,492,614,198,435 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 328,492,614,198,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,492,614,198,435) = 1

common factors(in case of two or more numbers have common factors) = 5904

GCF(328,492,614,198,435) x common factors =1 x 5904 = 5904

LCM(328,492,614,198,435) = ( 328 × 492 × 614 × 198 × 435 ) / 5904

LCM(328,492,614,198,435) = 8534179336320 / 5904

LCM(328,492,614,198,435) = 1445491080

∴ Least Common Multiple of 328,492,614,198,435 is 1445491080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 328, 492, 614, 198, 435

1. What is the LCM of 328, 492, 614, 198, 435?

Answer: LCM of 328, 492, 614, 198, 435 is 1445491080.

2. What are the Factors of 1445491080?

Answer: Factors of 1445491080 are . There are integers that are factors of 1445491080

3. How to Find the LCM of 328, 492, 614, 198, 435 ?

Least Common Multiple of 328, 492, 614, 198, 435.

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(328, 492, 614, 198, 435) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 29 x 41 x 307 = 1445491080.