Least Common Multiple of 6495/680, 5545/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6495/680, 5545/563 quickly i.e. 7202955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6495/680, 5545/563 is 7202955.

LCM(6495/680, 5545/563) = 7202955

LCM of 6495/680, 5545/563

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 6495/680,5545/563

Given numbers are 6495/680,5545/563

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 6495,5545

Least Common Multiple of Numerators i.e. LCM of 6495,5545 is 7202955.

GCF of Denominators means GCF of 680,563 as per the given fractions.

GCF of 680,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6495,5545

LCM of Fractions 6495/680,5545/563 is 7202955

5 6495, 5545
1299, 1109

∴ So the LCM of the given numbers is 5 x 1299 x 1109 = 7202955

Least Common Multiple of 6495,5545 with GCF Formula

Least Common Multiple of 6495,5545 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 6495,5545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6495,5545) = 5

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

GCF(6495,5545) x common factors =5 x 1 = 5

LCM(6495,5545) = ( 6495 × 5545 ) / 5

LCM(6495,5545) = 36014775 / 5

LCM(6495,5545) = 7202955


Lets's calculate GCF of 680,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7202955/1

Therefore the LCM of Fractions 6495/680,5545/563 is 7202955

Greatest Common Factor of 680,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,563 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 680,563 . The biggest common factor number is the GCF number.
So the greatest common factor 680,563 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6495/680, 5545/563

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 6495/680, 5545/563?

Answer: LCM of Numerators as per given numbers 6495/680, 5545/563 is

LCM of Numerators i.e. for 6495,5545 is 7202955

GCF of denominators i.e. for 680,563 is 1.

Thus, LCM of Fractions is 7202955.Finally, LCM of Fractions for 6495/680, 5545/563 is 7202955.