Least Common Multiple of 109/356, 1277/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/356, 1277/280 quickly i.e. 139193/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/356, 1277/280 is 139193/4.

LCM(109/356, 1277/280) = 139193/4

LCM of 109/356, 1277/280

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 109/356,1277/280

Given numbers are 109/356,1277/280

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 109,1277

Least Common Multiple of Numerators i.e. LCM of 109,1277 is 139193.

GCF of Denominators means GCF of 356,280 as per the given fractions.

GCF of 356,280 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,1277

LCM of Fractions 109/356,1277/280 is 139193/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 139193

Least Common Multiple of 109,1277 with GCF Formula

Least Common Multiple of 109,1277 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 109,1277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,1277) = 1

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

GCF(109,1277) x common factors =1 x 1 = 1

LCM(109,1277) = ( 109 × 1277 ) / 1

LCM(109,1277) = 139193 / 1

LCM(109,1277) = 139193


Lets's calculate GCF of 356,280

2 356, 280
2 178, 140
89, 70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139193/4

Therefore the LCM of Fractions 109/356,1277/280 is 139193/4

Greatest Common Factor of 356,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,280 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 356,280 . The biggest common factor number is the GCF number.
So the greatest common factor 356,280 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 109/356, 1277/280

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 109/356, 1277/280?

Answer: LCM of Numerators as per given numbers 109/356, 1277/280 is

LCM of Numerators i.e. for 109,1277 is 139193

GCF of denominators i.e. for 356,280 is 4.

Thus, LCM of Fractions is 139193/4.Finally, LCM of Fractions for 109/356, 1277/280 is 139193/4.