Least Common Multiple of 352, 685, 100, 407

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 352, 685, 100, 407 i.e. 44607200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 352, 685, 100, 407 is 44607200.

LCM(352, 685, 100, 407) = 44607200

LCM of 352, 685, 100, 407

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

LCM of:

Least Common Multiple of 352,685,100,407

Least Common Multiple (LCM) of 352,685,100,407 is 44607200

2 352, 685, 100, 407
2 176, 685, 50, 407
5 88, 685, 25, 407
11 88, 137, 5, 407
8, 137, 5, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 8 x 137 x 5 x 37 = 44607200

Least Common Multiple of 352,685,100,407 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 352,685,100,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,685,100,407) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(352,685,100,407) x common factors =1 x 220 = 220

LCM(352,685,100,407) = ( 352 × 685 × 100 × 407 ) / 220

LCM(352,685,100,407) = 9813584000 / 220

LCM(352,685,100,407) = 44607200

∴ Least Common Multiple of 352,685,100,407 is 44607200

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 352, 685, 100, 407

1. What is the LCM of 352, 685, 100, 407?

Answer: LCM of 352, 685, 100, 407 is 44607200.

2. What are the Factors of 44607200?

Answer: Factors of 44607200 are . There are integers that are factors of 44607200

3. How to Find the LCM of 352, 685, 100, 407 ?

Least Common Multiple of 352, 685, 100, 407.

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(352, 685, 100, 407) = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 37 x 137 = 44607200.