Least Common Multiple of 315, 321, 126, 259, 171

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 315, 321, 126, 259, 171 i.e. 47389230 smallest integer divisible by all numbers.

Least common multiple (LCM) of 315, 321, 126, 259, 171 is 47389230.

LCM(315, 321, 126, 259, 171) = 47389230

LCM of 315, 321, 126, 259, 171

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

LCM of:

Least Common Multiple of 315,321,126,259,171

Least Common Multiple (LCM) of 315,321,126,259,171 is 47389230

3 315, 321, 126, 259, 171
3 105, 107, 42, 259, 57
7 35, 107, 14, 259, 19
5, 107, 2, 37, 19

∴ So the LCM of the given numbers is 3 x 3 x 7 x 5 x 107 x 2 x 37 x 19 = 47389230

Least Common Multiple of 315,321,126,259,171 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 315,321,126,259,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,321,126,259,171) = 1

common factors(in case of two or more numbers have common factors) = 11907

GCF(315,321,126,259,171) x common factors =1 x 11907 = 11907

LCM(315,321,126,259,171) = ( 315 × 321 × 126 × 259 × 171 ) / 11907

LCM(315,321,126,259,171) = 564263561610 / 11907

LCM(315,321,126,259,171) = 47389230

∴ Least Common Multiple of 315,321,126,259,171 is 47389230

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 315, 321, 126, 259, 171

1. What is the LCM of 315, 321, 126, 259, 171?

Answer: LCM of 315, 321, 126, 259, 171 is 47389230.

2. What are the Factors of 47389230?

Answer: Factors of 47389230 are . There are integers that are factors of 47389230

3. How to Find the LCM of 315, 321, 126, 259, 171 ?

Least Common Multiple of 315, 321, 126, 259, 171.

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(315, 321, 126, 259, 171) = 2 x 3 x 3 x 5 x 7 x 19 x 37 x 107 = 47389230.