Least Common Multiple of 7956/694, 7211/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7956/694, 7211/464 quickly i.e. 28685358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7956/694, 7211/464 is 28685358.

LCM(7956/694, 7211/464) = 28685358

LCM of 7956/694, 7211/464

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 7956/694,7211/464

Given numbers are 7956/694,7211/464

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 7956,7211

Least Common Multiple of Numerators i.e. LCM of 7956,7211 is 57370716.

GCF of Denominators means GCF of 694,464 as per the given fractions.

GCF of 694,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7956,7211

LCM of Fractions 7956/694,7211/464 is 28685358

Given numbers has no common factors except 1. So, there LCM is their product i.e 57370716

Least Common Multiple of 7956,7211 with GCF Formula

Least Common Multiple of 7956,7211 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 7956,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7956,7211) = 1

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

GCF(7956,7211) x common factors =1 x 1 = 1

LCM(7956,7211) = ( 7956 × 7211 ) / 1

LCM(7956,7211) = 57370716 / 1

LCM(7956,7211) = 57370716


Lets's calculate GCF of 694,464

2 694, 464
347, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57370716/2

Therefore the LCM of Fractions 7956/694,7211/464 is 28685358

Greatest Common Factor of 694,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,464 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 694,464 . The biggest common factor number is the GCF number.
So the greatest common factor 694,464 is 2.


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Frequently Asked Questions on Fractional LCM of 7956/694, 7211/464

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 7956/694, 7211/464?

Answer: LCM of Numerators as per given numbers 7956/694, 7211/464 is

LCM of Numerators i.e. for 7956,7211 is 57370716

GCF of denominators i.e. for 694,464 is 2.

Thus, LCM of Fractions is 28685358.Finally, LCM of Fractions for 7956/694, 7211/464 is 28685358.