Least Common Multiple of 643/674, 7080/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 643/674, 7080/956 quickly i.e. 2276220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 643/674, 7080/956 is 2276220.

LCM(643/674, 7080/956) = 2276220

LCM of 643/674, 7080/956

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 643/674,7080/956

Given numbers are 643/674,7080/956

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 643,7080

Least Common Multiple of Numerators i.e. LCM of 643,7080 is 4552440.

GCF of Denominators means GCF of 674,956 as per the given fractions.

GCF of 674,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 643,7080

LCM of Fractions 643/674,7080/956 is 2276220

Given numbers has no common factors except 1. So, there LCM is their product i.e 4552440

Least Common Multiple of 643,7080 with GCF Formula

Least Common Multiple of 643,7080 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 643,7080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(643,7080) = 1

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

GCF(643,7080) x common factors =1 x 1 = 1

LCM(643,7080) = ( 643 × 7080 ) / 1

LCM(643,7080) = 4552440 / 1

LCM(643,7080) = 4552440


Lets's calculate GCF of 674,956

2 674, 956
337, 478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4552440/2

Therefore the LCM of Fractions 643/674,7080/956 is 2276220

Greatest Common Factor of 674,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,956 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 674,956 . The biggest common factor number is the GCF number.
So the greatest common factor 674,956 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 643/674, 7080/956

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 643/674, 7080/956?

Answer: LCM of Numerators as per given numbers 643/674, 7080/956 is

LCM of Numerators i.e. for 643,7080 is 4552440

GCF of denominators i.e. for 674,956 is 2.

Thus, LCM of Fractions is 2276220.Finally, LCM of Fractions for 643/674, 7080/956 is 2276220.