Least Common Multiple of 345, 109, 660, 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 345, 109, 660, 435 i.e. 47983980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 109, 660, 435 is 47983980.

LCM(345, 109, 660, 435) = 47983980

LCM of 345, 109, 660, 435

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

LCM of:

Least Common Multiple of 345,109,660,435

Least Common Multiple (LCM) of 345,109,660,435 is 47983980

3 345, 109, 660, 435
5 115, 109, 220, 145
23, 109, 44, 29

∴ So the LCM of the given numbers is 3 x 5 x 23 x 109 x 44 x 29 = 47983980

Least Common Multiple of 345,109,660,435 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 345,109,660,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,109,660,435) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(345,109,660,435) x common factors =1 x 225 = 225

LCM(345,109,660,435) = ( 345 × 109 × 660 × 435 ) / 225

LCM(345,109,660,435) = 10796395500 / 225

LCM(345,109,660,435) = 47983980

∴ Least Common Multiple of 345,109,660,435 is 47983980

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 345, 109, 660, 435

1. What is the LCM of 345, 109, 660, 435?

Answer: LCM of 345, 109, 660, 435 is 47983980.

2. What are the Factors of 47983980?

Answer: Factors of 47983980 are . There are integers that are factors of 47983980

3. How to Find the LCM of 345, 109, 660, 435 ?

Least Common Multiple of 345, 109, 660, 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(345, 109, 660, 435) = 2 x 2 x 3 x 5 x 11 x 23 x 29 x 109 = 47983980.