Least Common Multiple of 7031/928, 9972/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7031/928, 9972/772 quickly i.e. 17528283 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7031/928, 9972/772 is 17528283.

LCM(7031/928, 9972/772) = 17528283

LCM of 7031/928, 9972/772

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 7031/928,9972/772

Given numbers are 7031/928,9972/772

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 7031,9972

Least Common Multiple of Numerators i.e. LCM of 7031,9972 is 70113132.

GCF of Denominators means GCF of 928,772 as per the given fractions.

GCF of 928,772 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7031,9972

LCM of Fractions 7031/928,9972/772 is 17528283

Given numbers has no common factors except 1. So, there LCM is their product i.e 70113132

Least Common Multiple of 7031,9972 with GCF Formula

Least Common Multiple of 7031,9972 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 7031,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7031,9972) = 1

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

GCF(7031,9972) x common factors =1 x 1 = 1

LCM(7031,9972) = ( 7031 × 9972 ) / 1

LCM(7031,9972) = 70113132 / 1

LCM(7031,9972) = 70113132


Lets's calculate GCF of 928,772

2 928, 772
2 464, 386
232, 193

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70113132/4

Therefore the LCM of Fractions 7031/928,9972/772 is 17528283

Greatest Common Factor of 928,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,772 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 928,772 . The biggest common factor number is the GCF number.
So the greatest common factor 928,772 is 4.


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 7031/928, 9972/772

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 7031/928, 9972/772?

Answer: LCM of Numerators as per given numbers 7031/928, 9972/772 is

LCM of Numerators i.e. for 7031,9972 is 70113132

GCF of denominators i.e. for 928,772 is 4.

Thus, LCM of Fractions is 17528283.Finally, LCM of Fractions for 7031/928, 9972/772 is 17528283.