Least Common Multiple of 972/44, 799/63, 869/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 972/44, 799/63, 869/56 quickly i.e. 674889732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/44, 799/63, 869/56 is 674889732.

LCM(972/44, 799/63, 869/56) = 674889732

LCM of 972/44, 799/63, 869/56

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 972/44,799/63,869/56

Given numbers are 972/44,799/63,869/56

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 972,799,869

Least Common Multiple of Numerators i.e. LCM of 972,799,869 is 674889732.

GCF of Denominators means GCF of 44,63,56 as per the given fractions.

GCF of 44,63,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,799,869

LCM of Fractions 972/44,799/63,869/56 is 674889732

Given numbers has no common factors except 1. So, there LCM is their product i.e 674889732

Least Common Multiple of 972,799,869 with GCF Formula

Least Common Multiple of 972,799,869 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 972,799,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,799,869) = 1

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

GCF(972,799,869) x common factors =1 x 1 = 1

LCM(972,799,869) = ( 972 × 799 × 869 ) / 1

LCM(972,799,869) = 674889732 / 1

LCM(972,799,869) = 674889732


Lets's calculate GCF of 44,63,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674889732/1

Therefore the LCM of Fractions 972/44,799/63,869/56 is 674889732

Greatest Common Factor of 44,63,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,63,56 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 44,63,56 . The biggest common factor number is the GCF number.
So the greatest common factor 44,63,56 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 972/44, 799/63, 869/56

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 972/44, 799/63, 869/56?

Answer: LCM of Numerators as per given numbers 972/44, 799/63, 869/56 is

LCM of Numerators i.e. for 972,799,869 is 674889732

GCF of denominators i.e. for 44,63,56 is 1.

Thus, LCM of Fractions is 674889732.Finally, LCM of Fractions for 972/44, 799/63, 869/56 is 674889732.