Least Common Multiple of 240/56, 856/30, 517/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 240/56, 856/30, 517/925 quickly i.e. 13276560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 240/56, 856/30, 517/925 is 13276560.

LCM(240/56, 856/30, 517/925) = 13276560

LCM of 240/56, 856/30, 517/925

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 240/56,856/30,517/925

Given numbers are 240/56,856/30,517/925

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 240,856,517

Least Common Multiple of Numerators i.e. LCM of 240,856,517 is 13276560.

GCF of Denominators means GCF of 56,30,925 as per the given fractions.

GCF of 56,30,925 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 240,856,517

LCM of Fractions 240/56,856/30,517/925 is 13276560

2 240, 856, 517
2 120, 428, 517
2 60, 214, 517
30, 107, 517

∴ So the LCM of the given numbers is 2 x 2 x 2 x 30 x 107 x 517 = 13276560

Least Common Multiple of 240,856,517 with GCF Formula

Least Common Multiple of 240,856,517 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 240,856,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,856,517) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(240,856,517) x common factors =1 x 8 = 8

LCM(240,856,517) = ( 240 × 856 × 517 ) / 8

LCM(240,856,517) = 106212480 / 8

LCM(240,856,517) = 13276560


Lets's calculate GCF of 56,30,925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13276560/1

Therefore the LCM of Fractions 240/56,856/30,517/925 is 13276560

Greatest Common Factor of 56,30,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,30,925 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 56,30,925 . The biggest common factor number is the GCF number.
So the greatest common factor 56,30,925 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 240/56, 856/30, 517/925

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 240/56, 856/30, 517/925?

Answer: LCM of Numerators as per given numbers 240/56, 856/30, 517/925 is

LCM of Numerators i.e. for 240,856,517 is 13276560

GCF of denominators i.e. for 56,30,925 is 1.

Thus, LCM of Fractions is 13276560.Finally, LCM of Fractions for 240/56, 856/30, 517/925 is 13276560.