Least Common Multiple of 93/130, 5546/6456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 93/130, 5546/6456 quickly i.e. 257889 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/130, 5546/6456 is 257889.

LCM(93/130, 5546/6456) = 257889

LCM of 93/130, 5546/6456

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 93/130,5546/6456

Given numbers are 93/130,5546/6456

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 93,5546

Least Common Multiple of Numerators i.e. LCM of 93,5546 is 515778.

GCF of Denominators means GCF of 130,6456 as per the given fractions.

GCF of 130,6456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,5546

LCM of Fractions 93/130,5546/6456 is 257889

Given numbers has no common factors except 1. So, there LCM is their product i.e 515778

Least Common Multiple of 93,5546 with GCF Formula

Least Common Multiple of 93,5546 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 93,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,5546) = 1

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

GCF(93,5546) x common factors =1 x 1 = 1

LCM(93,5546) = ( 93 × 5546 ) / 1

LCM(93,5546) = 515778 / 1

LCM(93,5546) = 515778


Lets's calculate GCF of 130,6456

2 130, 6456
65, 3228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515778/2

Therefore the LCM of Fractions 93/130,5546/6456 is 257889

Greatest Common Factor of 130,6456 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,6456 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 6456

List of positive integer factors of 6456 that divides 6456 without a remainder.

1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456

Greatest Common Factor

We found the factors 130,6456 . The biggest common factor number is the GCF number.
So the greatest common factor 130,6456 is 2.


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Frequently Asked Questions on Fractional LCM of 93/130, 5546/6456

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 93/130, 5546/6456?

Answer: LCM of Numerators as per given numbers 93/130, 5546/6456 is

LCM of Numerators i.e. for 93,5546 is 515778

GCF of denominators i.e. for 130,6456 is 2.

Thus, LCM of Fractions is 257889.Finally, LCM of Fractions for 93/130, 5546/6456 is 257889.