Least Common Multiple of 372/976, 300/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 372/976, 300/922 quickly i.e. 4650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/976, 300/922 is 4650.

LCM(372/976, 300/922) = 4650

LCM of 372/976, 300/922

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 372/976,300/922

Given numbers are 372/976,300/922

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 372,300

Least Common Multiple of Numerators i.e. LCM of 372,300 is 9300.

GCF of Denominators means GCF of 976,922 as per the given fractions.

GCF of 976,922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,300

LCM of Fractions 372/976,300/922 is 4650

2 372, 300
2 186, 150
3 93, 75
31, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 25 = 9300

Least Common Multiple of 372,300 with GCF Formula

Least Common Multiple of 372,300 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 372,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,300) = 12

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

GCF(372,300) x common factors =12 x 1 = 12

LCM(372,300) = ( 372 × 300 ) / 12

LCM(372,300) = 111600 / 12

LCM(372,300) = 9300


Lets's calculate GCF of 976,922

2 976, 922
488, 461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9300/2

Therefore the LCM of Fractions 372/976,300/922 is 4650

Greatest Common Factor of 976,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,922 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 976,922 . The biggest common factor number is the GCF number.
So the greatest common factor 976,922 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 372/976, 300/922

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 372/976, 300/922?

Answer: LCM of Numerators as per given numbers 372/976, 300/922 is

LCM of Numerators i.e. for 372,300 is 9300

GCF of denominators i.e. for 976,922 is 2.

Thus, LCM of Fractions is 4650.Finally, LCM of Fractions for 372/976, 300/922 is 4650.