Least Common Multiple of 315/31, 314/12, 514/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/31, 314/12, 514/137 quickly i.e. 25419870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/31, 314/12, 514/137 is 25419870.

LCM(315/31, 314/12, 514/137) = 25419870

LCM of 315/31, 314/12, 514/137

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 315/31,314/12,514/137

Given numbers are 315/31,314/12,514/137

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 315,314,514

Least Common Multiple of Numerators i.e. LCM of 315,314,514 is 25419870.

GCF of Denominators means GCF of 31,12,137 as per the given fractions.

GCF of 31,12,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,314,514

LCM of Fractions 315/31,314/12,514/137 is 25419870

2 315, 314, 514
315, 157, 257

∴ So the LCM of the given numbers is 2 x 315 x 157 x 257 = 25419870

Least Common Multiple of 315,314,514 with GCF Formula

Least Common Multiple of 315,314,514 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 315,314,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,314,514) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(315,314,514) x common factors =1 x 2 = 2

LCM(315,314,514) = ( 315 × 314 × 514 ) / 2

LCM(315,314,514) = 50839740 / 2

LCM(315,314,514) = 25419870


Lets's calculate GCF of 31,12,137

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25419870/1

Therefore the LCM of Fractions 315/31,314/12,514/137 is 25419870

Greatest Common Factor of 31,12,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,12,137 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 31,12,137 . The biggest common factor number is the GCF number.
So the greatest common factor 31,12,137 is 1.


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 315/31, 314/12, 514/137

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 315/31, 314/12, 514/137?

Answer: LCM of Numerators as per given numbers 315/31, 314/12, 514/137 is

LCM of Numerators i.e. for 315,314,514 is 25419870

GCF of denominators i.e. for 31,12,137 is 1.

Thus, LCM of Fractions is 25419870.Finally, LCM of Fractions for 315/31, 314/12, 514/137 is 25419870.