Least Common Multiple of 972/511, 8345/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/511, 8345/952 quickly i.e. 8111340/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/511, 8345/952 is 8111340/7.

LCM(972/511, 8345/952) = 8111340/7

LCM of 972/511, 8345/952

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 972/511,8345/952

Given numbers are 972/511,8345/952

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 972,8345

Least Common Multiple of Numerators i.e. LCM of 972,8345 is 8111340.

GCF of Denominators means GCF of 511,952 as per the given fractions.

GCF of 511,952 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,8345

LCM of Fractions 972/511,8345/952 is 8111340/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 8111340

Least Common Multiple of 972,8345 with GCF Formula

Least Common Multiple of 972,8345 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 972,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,8345) = 1

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

GCF(972,8345) x common factors =1 x 1 = 1

LCM(972,8345) = ( 972 × 8345 ) / 1

LCM(972,8345) = 8111340 / 1

LCM(972,8345) = 8111340


Lets's calculate GCF of 511,952

7 511, 952
73, 136

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8111340/7

Therefore the LCM of Fractions 972/511,8345/952 is 8111340/7

Greatest Common Factor of 511,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 511,952 By Matching Biggest Common Factor Method

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 511,952 . The biggest common factor number is the GCF number.
So the greatest common factor 511,952 is 7.


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 972/511, 8345/952

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 972/511, 8345/952?

Answer: LCM of Numerators as per given numbers 972/511, 8345/952 is

LCM of Numerators i.e. for 972,8345 is 8111340

GCF of denominators i.e. for 511,952 is 7.

Thus, LCM of Fractions is 8111340/7.Finally, LCM of Fractions for 972/511, 8345/952 is 8111340/7.