Least Common Multiple of 391/796, 3156/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 391/796, 3156/320 quickly i.e. 308499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 391/796, 3156/320 is 308499.

LCM(391/796, 3156/320) = 308499

LCM of 391/796, 3156/320

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 391/796,3156/320

Given numbers are 391/796,3156/320

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 391,3156

Least Common Multiple of Numerators i.e. LCM of 391,3156 is 1233996.

GCF of Denominators means GCF of 796,320 as per the given fractions.

GCF of 796,320 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 391,3156

LCM of Fractions 391/796,3156/320 is 308499

Given numbers has no common factors except 1. So, there LCM is their product i.e 1233996

Least Common Multiple of 391,3156 with GCF Formula

Least Common Multiple of 391,3156 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 391,3156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,3156) = 1

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

GCF(391,3156) x common factors =1 x 1 = 1

LCM(391,3156) = ( 391 × 3156 ) / 1

LCM(391,3156) = 1233996 / 1

LCM(391,3156) = 1233996


Lets's calculate GCF of 796,320

2 796, 320
2 398, 160
199, 80

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1233996/4

Therefore the LCM of Fractions 391/796,3156/320 is 308499

Greatest Common Factor of 796,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,320 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 796,320 . The biggest common factor number is the GCF number.
So the greatest common factor 796,320 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 391/796, 3156/320

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 391/796, 3156/320?

Answer: LCM of Numerators as per given numbers 391/796, 3156/320 is

LCM of Numerators i.e. for 391,3156 is 1233996

GCF of denominators i.e. for 796,320 is 4.

Thus, LCM of Fractions is 308499.Finally, LCM of Fractions for 391/796, 3156/320 is 308499.