Least Common Multiple of 656/760, 2663/7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 656/760, 2663/7264 quickly i.e. 218366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/760, 2663/7264 is 218366.

LCM(656/760, 2663/7264) = 218366

LCM of 656/760, 2663/7264

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 656/760,2663/7264

Given numbers are 656/760,2663/7264

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 656,2663

Least Common Multiple of Numerators i.e. LCM of 656,2663 is 1746928.

GCF of Denominators means GCF of 760,7264 as per the given fractions.

GCF of 760,7264 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,2663

LCM of Fractions 656/760,2663/7264 is 218366

Given numbers has no common factors except 1. So, there LCM is their product i.e 1746928

Least Common Multiple of 656,2663 with GCF Formula

Least Common Multiple of 656,2663 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 656,2663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,2663) = 1

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

GCF(656,2663) x common factors =1 x 1 = 1

LCM(656,2663) = ( 656 × 2663 ) / 1

LCM(656,2663) = 1746928 / 1

LCM(656,2663) = 1746928


Lets's calculate GCF of 760,7264

2 760, 7264
2 380, 3632
2 190, 1816
95, 908

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1746928/8

Therefore the LCM of Fractions 656/760,2663/7264 is 218366

Greatest Common Factor of 760,7264 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,7264 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1,2,4,8,16,32,227,454,908,1816,3632,7264

Greatest Common Factor

We found the factors 760,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 760,7264 is 8.


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 656/760, 2663/7264

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 656/760, 2663/7264?

Answer: LCM of Numerators as per given numbers 656/760, 2663/7264 is

LCM of Numerators i.e. for 656,2663 is 1746928

GCF of denominators i.e. for 760,7264 is 8.

Thus, LCM of Fractions is 218366.Finally, LCM of Fractions for 656/760, 2663/7264 is 218366.