Least Common Multiple of 379/794, 917/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 379/794, 917/672 quickly i.e. 347543/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/794, 917/672 is 347543/2.

LCM(379/794, 917/672) = 347543/2

LCM of 379/794, 917/672

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 379/794,917/672

Given numbers are 379/794,917/672

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 379,917

Least Common Multiple of Numerators i.e. LCM of 379,917 is 347543.

GCF of Denominators means GCF of 794,672 as per the given fractions.

GCF of 794,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,917

LCM of Fractions 379/794,917/672 is 347543/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 347543

Least Common Multiple of 379,917 with GCF Formula

Least Common Multiple of 379,917 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 379,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,917) = 1

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

GCF(379,917) x common factors =1 x 1 = 1

LCM(379,917) = ( 379 × 917 ) / 1

LCM(379,917) = 347543 / 1

LCM(379,917) = 347543


Lets's calculate GCF of 794,672

2 794, 672
397, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347543/2

Therefore the LCM of Fractions 379/794,917/672 is 347543/2

Greatest Common Factor of 794,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,672 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

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 794,672 . The biggest common factor number is the GCF number.
So the greatest common factor 794,672 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 379/794, 917/672

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 379/794, 917/672?

Answer: LCM of Numerators as per given numbers 379/794, 917/672 is

LCM of Numerators i.e. for 379,917 is 347543

GCF of denominators i.e. for 794,672 is 2.

Thus, LCM of Fractions is 347543/2.Finally, LCM of Fractions for 379/794, 917/672 is 347543/2.