Least Common Multiple of 4213/972, 7951/8751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4213/972, 7951/8751 quickly i.e. 33497563/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4213/972, 7951/8751 is 33497563/3.

LCM(4213/972, 7951/8751) = 33497563/3

LCM of 4213/972, 7951/8751

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 4213/972,7951/8751

Given numbers are 4213/972,7951/8751

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 4213,7951

Least Common Multiple of Numerators i.e. LCM of 4213,7951 is 33497563.

GCF of Denominators means GCF of 972,8751 as per the given fractions.

GCF of 972,8751 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4213,7951

LCM of Fractions 4213/972,7951/8751 is 33497563/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 33497563

Least Common Multiple of 4213,7951 with GCF Formula

Least Common Multiple of 4213,7951 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 4213,7951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4213,7951) = 1

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

GCF(4213,7951) x common factors =1 x 1 = 1

LCM(4213,7951) = ( 4213 × 7951 ) / 1

LCM(4213,7951) = 33497563 / 1

LCM(4213,7951) = 33497563


Lets's calculate GCF of 972,8751

3 972, 8751
324, 2917

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33497563/3

Therefore the LCM of Fractions 4213/972,7951/8751 is 33497563/3

Greatest Common Factor of 972,8751 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,8751 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 8751

List of positive integer factors of 8751 that divides 8751 without a remainder.

1,3,2917,8751

Greatest Common Factor

We found the factors 972,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 972,8751 is 3.


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 4213/972, 7951/8751

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 4213/972, 7951/8751?

Answer: LCM of Numerators as per given numbers 4213/972, 7951/8751 is

LCM of Numerators i.e. for 4213,7951 is 33497563

GCF of denominators i.e. for 972,8751 is 3.

Thus, LCM of Fractions is 33497563/3.Finally, LCM of Fractions for 4213/972, 7951/8751 is 33497563/3.