Least Common Multiple of 315/42, 458/7132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/42, 458/7132 quickly i.e. 72135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/42, 458/7132 is 72135.

LCM(315/42, 458/7132) = 72135

LCM of 315/42, 458/7132

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 315/42,458/7132

Given numbers are 315/42,458/7132

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 315,458

Least Common Multiple of Numerators i.e. LCM of 315,458 is 144270.

GCF of Denominators means GCF of 42,7132 as per the given fractions.

GCF of 42,7132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,458

LCM of Fractions 315/42,458/7132 is 72135

Given numbers has no common factors except 1. So, there LCM is their product i.e 144270

Least Common Multiple of 315,458 with GCF Formula

Least Common Multiple of 315,458 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 315,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,458) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(315,458) x common factors =1 x 1 = 1

LCM(315,458) = ( 315 × 458 ) / 1

LCM(315,458) = 144270 / 1

LCM(315,458) = 144270


Lets's calculate GCF of 42,7132

2 42, 7132
21, 3566

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144270/2

Therefore the LCM of Fractions 315/42,458/7132 is 72135

Greatest Common Factor of 42,7132 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,7132 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Greatest Common Factor

We found the factors 42,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 42,7132 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 315/42, 458/7132

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 315/42, 458/7132?

Answer: LCM of Numerators as per given numbers 315/42, 458/7132 is

LCM of Numerators i.e. for 315,458 is 144270

GCF of denominators i.e. for 42,7132 is 2.

Thus, LCM of Fractions is 72135.Finally, LCM of Fractions for 315/42, 458/7132 is 72135.