Least Common Multiple of 9315/669, 7054/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9315/669, 7054/846 quickly i.e. 21902670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9315/669, 7054/846 is 21902670.

LCM(9315/669, 7054/846) = 21902670

LCM of 9315/669, 7054/846

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 9315/669,7054/846

Given numbers are 9315/669,7054/846

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 9315,7054

Least Common Multiple of Numerators i.e. LCM of 9315,7054 is 65708010.

GCF of Denominators means GCF of 669,846 as per the given fractions.

GCF of 669,846 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9315,7054

LCM of Fractions 9315/669,7054/846 is 21902670

Given numbers has no common factors except 1. So, there LCM is their product i.e 65708010

Least Common Multiple of 9315,7054 with GCF Formula

Least Common Multiple of 9315,7054 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 9315,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9315,7054) = 1

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

GCF(9315,7054) x common factors =1 x 1 = 1

LCM(9315,7054) = ( 9315 × 7054 ) / 1

LCM(9315,7054) = 65708010 / 1

LCM(9315,7054) = 65708010


Lets's calculate GCF of 669,846

3 669, 846
223, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65708010/3

Therefore the LCM of Fractions 9315/669,7054/846 is 21902670

Greatest Common Factor of 669,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,846 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 669,846 . The biggest common factor number is the GCF number.
So the greatest common factor 669,846 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9315/669, 7054/846

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 9315/669, 7054/846?

Answer: LCM of Numerators as per given numbers 9315/669, 7054/846 is

LCM of Numerators i.e. for 9315,7054 is 65708010

GCF of denominators i.e. for 669,846 is 3.

Thus, LCM of Fractions is 21902670.Finally, LCM of Fractions for 9315/669, 7054/846 is 21902670.