Least Common Multiple of 7266/792, 7994/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7266/792, 7994/672 quickly i.e. 4148886/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7266/792, 7994/672 is 4148886/24.

LCM(7266/792, 7994/672) = 4148886/24

LCM of 7266/792, 7994/672

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 7266/792,7994/672

Given numbers are 7266/792,7994/672

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 7266,7994

Least Common Multiple of Numerators i.e. LCM of 7266,7994 is 4148886.

GCF of Denominators means GCF of 792,672 as per the given fractions.

GCF of 792,672 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7266,7994

LCM of Fractions 7266/792,7994/672 is 4148886/24

2 7266, 7994
7 3633, 3997
519, 571

∴ So the LCM of the given numbers is 2 x 7 x 519 x 571 = 4148886

Least Common Multiple of 7266,7994 with GCF Formula

Least Common Multiple of 7266,7994 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 7266,7994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7266,7994) = 14

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

GCF(7266,7994) x common factors =14 x 1 = 14

LCM(7266,7994) = ( 7266 × 7994 ) / 14

LCM(7266,7994) = 58084404 / 14

LCM(7266,7994) = 4148886


Lets's calculate GCF of 792,672

2 792, 672
2 396, 336
2 198, 168
3 99, 84
33, 28

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4148886/24

Therefore the LCM of Fractions 7266/792,7994/672 is 4148886/24

Greatest Common Factor of 792,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,672 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 792,672 . The biggest common factor number is the GCF number.
So the greatest common factor 792,672 is 24.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7266/792, 7994/672

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 7266/792, 7994/672?

Answer: LCM of Numerators as per given numbers 7266/792, 7994/672 is

LCM of Numerators i.e. for 7266,7994 is 4148886

GCF of denominators i.e. for 792,672 is 24.

Thus, LCM of Fractions is 4148886/24.Finally, LCM of Fractions for 7266/792, 7994/672 is 4148886/24.