Least Common Multiple of 9297/42, 8904/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9297/42, 8904/951 quickly i.e. 9197832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9297/42, 8904/951 is 9197832.

LCM(9297/42, 8904/951) = 9197832

LCM of 9297/42, 8904/951

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 9297/42,8904/951

Given numbers are 9297/42,8904/951

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 9297,8904

Least Common Multiple of Numerators i.e. LCM of 9297,8904 is 27593496.

GCF of Denominators means GCF of 42,951 as per the given fractions.

GCF of 42,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9297,8904

LCM of Fractions 9297/42,8904/951 is 9197832

3 9297, 8904
3099, 2968

∴ So the LCM of the given numbers is 3 x 3099 x 2968 = 27593496

Least Common Multiple of 9297,8904 with GCF Formula

Least Common Multiple of 9297,8904 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 9297,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9297,8904) = 3

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

GCF(9297,8904) x common factors =3 x 1 = 3

LCM(9297,8904) = ( 9297 × 8904 ) / 3

LCM(9297,8904) = 82780488 / 3

LCM(9297,8904) = 27593496


Lets's calculate GCF of 42,951

3 42, 951
14, 317

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27593496/3

Therefore the LCM of Fractions 9297/42,8904/951 is 9197832

Greatest Common Factor of 42,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,951 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 42,951 . The biggest common factor number is the GCF number.
So the greatest common factor 42,951 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9297/42, 8904/951

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 9297/42, 8904/951?

Answer: LCM of Numerators as per given numbers 9297/42, 8904/951 is

LCM of Numerators i.e. for 9297,8904 is 27593496

GCF of denominators i.e. for 42,951 is 3.

Thus, LCM of Fractions is 9197832.Finally, LCM of Fractions for 9297/42, 8904/951 is 9197832.