Least Common Multiple of 5413/178, 2687/6800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5413/178, 2687/6800 quickly i.e. 14544731/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5413/178, 2687/6800 is 14544731/2.

LCM(5413/178, 2687/6800) = 14544731/2

LCM of 5413/178, 2687/6800

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 5413/178,2687/6800

Given numbers are 5413/178,2687/6800

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 5413,2687

Least Common Multiple of Numerators i.e. LCM of 5413,2687 is 14544731.

GCF of Denominators means GCF of 178,6800 as per the given fractions.

GCF of 178,6800 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5413,2687

LCM of Fractions 5413/178,2687/6800 is 14544731/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 14544731

Least Common Multiple of 5413,2687 with GCF Formula

Least Common Multiple of 5413,2687 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 5413,2687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5413,2687) = 1

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

GCF(5413,2687) x common factors =1 x 1 = 1

LCM(5413,2687) = ( 5413 × 2687 ) / 1

LCM(5413,2687) = 14544731 / 1

LCM(5413,2687) = 14544731


Lets's calculate GCF of 178,6800

2 178, 6800
89, 3400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14544731/2

Therefore the LCM of Fractions 5413/178,2687/6800 is 14544731/2

Greatest Common Factor of 178,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,6800 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 178,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 178,6800 is 2.


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 5413/178, 2687/6800

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 5413/178, 2687/6800?

Answer: LCM of Numerators as per given numbers 5413/178, 2687/6800 is

LCM of Numerators i.e. for 5413,2687 is 14544731

GCF of denominators i.e. for 178,6800 is 2.

Thus, LCM of Fractions is 14544731/2.Finally, LCM of Fractions for 5413/178, 2687/6800 is 14544731/2.