Least Common Multiple of 748/972, 7751/3967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/972, 7751/3967 quickly i.e. 5797748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/972, 7751/3967 is 5797748.

LCM(748/972, 7751/3967) = 5797748

LCM of 748/972, 7751/3967

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 748/972,7751/3967

Given numbers are 748/972,7751/3967

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 748,7751

Least Common Multiple of Numerators i.e. LCM of 748,7751 is 5797748.

GCF of Denominators means GCF of 972,3967 as per the given fractions.

GCF of 972,3967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,7751

LCM of Fractions 748/972,7751/3967 is 5797748

Given numbers has no common factors except 1. So, there LCM is their product i.e 5797748

Least Common Multiple of 748,7751 with GCF Formula

Least Common Multiple of 748,7751 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 748,7751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,7751) = 1

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

GCF(748,7751) x common factors =1 x 1 = 1

LCM(748,7751) = ( 748 × 7751 ) / 1

LCM(748,7751) = 5797748 / 1

LCM(748,7751) = 5797748


Lets's calculate GCF of 972,3967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5797748/1

Therefore the LCM of Fractions 748/972,7751/3967 is 5797748

Greatest Common Factor of 972,3967 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,3967 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 3967

List of positive integer factors of 3967 that divides 3967 without a remainder.

1,3967

Greatest Common Factor

We found the factors 972,3967 . The biggest common factor number is the GCF number.
So the greatest common factor 972,3967 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 748/972, 7751/3967

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 748/972, 7751/3967?

Answer: LCM of Numerators as per given numbers 748/972, 7751/3967 is

LCM of Numerators i.e. for 748,7751 is 5797748

GCF of denominators i.e. for 972,3967 is 1.

Thus, LCM of Fractions is 5797748.Finally, LCM of Fractions for 748/972, 7751/3967 is 5797748.