Least Common Multiple of 6458/977, 5576/6498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6458/977, 5576/6498 quickly i.e. 18004904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6458/977, 5576/6498 is 18004904.

LCM(6458/977, 5576/6498) = 18004904

LCM of 6458/977, 5576/6498

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 6458/977,5576/6498

Given numbers are 6458/977,5576/6498

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 6458,5576

Least Common Multiple of Numerators i.e. LCM of 6458,5576 is 18004904.

GCF of Denominators means GCF of 977,6498 as per the given fractions.

GCF of 977,6498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6458,5576

LCM of Fractions 6458/977,5576/6498 is 18004904

2 6458, 5576
3229, 2788

∴ So the LCM of the given numbers is 2 x 3229 x 2788 = 18004904

Least Common Multiple of 6458,5576 with GCF Formula

Least Common Multiple of 6458,5576 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 6458,5576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6458,5576) = 2

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

GCF(6458,5576) x common factors =2 x 1 = 2

LCM(6458,5576) = ( 6458 × 5576 ) / 2

LCM(6458,5576) = 36009808 / 2

LCM(6458,5576) = 18004904


Lets's calculate GCF of 977,6498

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18004904/1

Therefore the LCM of Fractions 6458/977,5576/6498 is 18004904

Greatest Common Factor of 977,6498 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,6498 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 6498

List of positive integer factors of 6498 that divides 6498 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498

Greatest Common Factor

We found the factors 977,6498 . The biggest common factor number is the GCF number.
So the greatest common factor 977,6498 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6458/977, 5576/6498

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 6458/977, 5576/6498?

Answer: LCM of Numerators as per given numbers 6458/977, 5576/6498 is

LCM of Numerators i.e. for 6458,5576 is 18004904

GCF of denominators i.e. for 977,6498 is 1.

Thus, LCM of Fractions is 18004904.Finally, LCM of Fractions for 6458/977, 5576/6498 is 18004904.