Least Common Multiple of 6972/926, 7972/8225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6972/926, 7972/8225 quickly i.e. 13895196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6972/926, 7972/8225 is 13895196.

LCM(6972/926, 7972/8225) = 13895196

LCM of 6972/926, 7972/8225

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 6972/926,7972/8225

Given numbers are 6972/926,7972/8225

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 6972,7972

Least Common Multiple of Numerators i.e. LCM of 6972,7972 is 13895196.

GCF of Denominators means GCF of 926,8225 as per the given fractions.

GCF of 926,8225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6972,7972

LCM of Fractions 6972/926,7972/8225 is 13895196

2 6972, 7972
2 3486, 3986
1743, 1993

∴ So the LCM of the given numbers is 2 x 2 x 1743 x 1993 = 13895196

Least Common Multiple of 6972,7972 with GCF Formula

Least Common Multiple of 6972,7972 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 6972,7972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6972,7972) = 4

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

GCF(6972,7972) x common factors =4 x 1 = 4

LCM(6972,7972) = ( 6972 × 7972 ) / 4

LCM(6972,7972) = 55580784 / 4

LCM(6972,7972) = 13895196


Lets's calculate GCF of 926,8225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13895196/1

Therefore the LCM of Fractions 6972/926,7972/8225 is 13895196

Greatest Common Factor of 926,8225 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,8225 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Greatest Common Factor

We found the factors 926,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 926,8225 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 6972/926, 7972/8225

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 6972/926, 7972/8225?

Answer: LCM of Numerators as per given numbers 6972/926, 7972/8225 is

LCM of Numerators i.e. for 6972,7972 is 13895196

GCF of denominators i.e. for 926,8225 is 1.

Thus, LCM of Fractions is 13895196.Finally, LCM of Fractions for 6972/926, 7972/8225 is 13895196.