Least Common Multiple of 762/669, 7252/3099

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/669, 7252/3099 quickly i.e. 921004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/669, 7252/3099 is 921004.

LCM(762/669, 7252/3099) = 921004

LCM of 762/669, 7252/3099

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 762/669,7252/3099

Given numbers are 762/669,7252/3099

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 762,7252

Least Common Multiple of Numerators i.e. LCM of 762,7252 is 2763012.

GCF of Denominators means GCF of 669,3099 as per the given fractions.

GCF of 669,3099 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,7252

LCM of Fractions 762/669,7252/3099 is 921004

2 762, 7252
381, 3626

∴ So the LCM of the given numbers is 2 x 381 x 3626 = 2763012

Least Common Multiple of 762,7252 with GCF Formula

Least Common Multiple of 762,7252 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 762,7252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,7252) = 2

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

GCF(762,7252) x common factors =2 x 1 = 2

LCM(762,7252) = ( 762 × 7252 ) / 2

LCM(762,7252) = 5526024 / 2

LCM(762,7252) = 2763012


Lets's calculate GCF of 669,3099

3 669, 3099
223, 1033

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2763012/3

Therefore the LCM of Fractions 762/669,7252/3099 is 921004

Greatest Common Factor of 669,3099 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,3099 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 3099

List of positive integer factors of 3099 that divides 3099 without a remainder.

1,3,1033,3099

Greatest Common Factor

We found the factors 669,3099 . The biggest common factor number is the GCF number.
So the greatest common factor 669,3099 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 762/669, 7252/3099

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 762/669, 7252/3099?

Answer: LCM of Numerators as per given numbers 762/669, 7252/3099 is

LCM of Numerators i.e. for 762,7252 is 2763012

GCF of denominators i.e. for 669,3099 is 3.

Thus, LCM of Fractions is 921004.Finally, LCM of Fractions for 762/669, 7252/3099 is 921004.