Least Common Multiple of 317/26, 931/24, 864/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/26, 931/24, 864/276 quickly i.e. 127494864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/26, 931/24, 864/276 is 127494864.

LCM(317/26, 931/24, 864/276) = 127494864

LCM of 317/26, 931/24, 864/276

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 317/26,931/24,864/276

Given numbers are 317/26,931/24,864/276

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 317,931,864

Least Common Multiple of Numerators i.e. LCM of 317,931,864 is 254989728.

GCF of Denominators means GCF of 26,24,276 as per the given fractions.

GCF of 26,24,276 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,931,864

LCM of Fractions 317/26,931/24,864/276 is 127494864

Given numbers has no common factors except 1. So, there LCM is their product i.e 254989728

Least Common Multiple of 317,931,864 with GCF Formula

Least Common Multiple of 317,931,864 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 317,931,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,931,864) = 1

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

GCF(317,931,864) x common factors =1 x 1 = 1

LCM(317,931,864) = ( 317 × 931 × 864 ) / 1

LCM(317,931,864) = 254989728 / 1

LCM(317,931,864) = 254989728


Lets's calculate GCF of 26,24,276

2 26, 24, 276
13, 12, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254989728/2

Therefore the LCM of Fractions 317/26,931/24,864/276 is 127494864

Greatest Common Factor of 26,24,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,24,276 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 26,24,276 . The biggest common factor number is the GCF number.
So the greatest common factor 26,24,276 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 317/26, 931/24, 864/276

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 317/26, 931/24, 864/276?

Answer: LCM of Numerators as per given numbers 317/26, 931/24, 864/276 is

LCM of Numerators i.e. for 317,931,864 is 254989728

GCF of denominators i.e. for 26,24,276 is 2.

Thus, LCM of Fractions is 127494864.Finally, LCM of Fractions for 317/26, 931/24, 864/276 is 127494864.