Least Common Multiple of 6454/972, 7401/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6454/972, 7401/951 quickly i.e. 15922018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6454/972, 7401/951 is 15922018.

LCM(6454/972, 7401/951) = 15922018

LCM of 6454/972, 7401/951

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 6454/972,7401/951

Given numbers are 6454/972,7401/951

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 6454,7401

Least Common Multiple of Numerators i.e. LCM of 6454,7401 is 47766054.

GCF of Denominators means GCF of 972,951 as per the given fractions.

GCF of 972,951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6454,7401

LCM of Fractions 6454/972,7401/951 is 15922018

Given numbers has no common factors except 1. So, there LCM is their product i.e 47766054

Least Common Multiple of 6454,7401 with GCF Formula

Least Common Multiple of 6454,7401 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 6454,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6454,7401) = 1

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

GCF(6454,7401) x common factors =1 x 1 = 1

LCM(6454,7401) = ( 6454 × 7401 ) / 1

LCM(6454,7401) = 47766054 / 1

LCM(6454,7401) = 47766054


Lets's calculate GCF of 972,951

3 972, 951
324, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47766054/3

Therefore the LCM of Fractions 6454/972,7401/951 is 15922018

Greatest Common Factor of 972,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,951 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

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 972,951 . The biggest common factor number is the GCF number.
So the greatest common factor 972,951 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6454/972, 7401/951

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 6454/972, 7401/951?

Answer: LCM of Numerators as per given numbers 6454/972, 7401/951 is

LCM of Numerators i.e. for 6454,7401 is 47766054

GCF of denominators i.e. for 972,951 is 3.

Thus, LCM of Fractions is 15922018.Finally, LCM of Fractions for 6454/972, 7401/951 is 15922018.