Least Common Multiple of 565/63, 970/1003

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 565/63, 970/1003 quickly i.e. 109610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/63, 970/1003 is 109610.

LCM(565/63, 970/1003) = 109610

LCM of 565/63, 970/1003

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 565/63,970/1003

Given numbers are 565/63,970/1003

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 565,970

Least Common Multiple of Numerators i.e. LCM of 565,970 is 109610.

GCF of Denominators means GCF of 63,1003 as per the given fractions.

GCF of 63,1003 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,970

LCM of Fractions 565/63,970/1003 is 109610

5 565, 970
113, 194

∴ So the LCM of the given numbers is 5 x 113 x 194 = 109610

Least Common Multiple of 565,970 with GCF Formula

Least Common Multiple of 565,970 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 565,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,970) = 5

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

GCF(565,970) x common factors =5 x 1 = 5

LCM(565,970) = ( 565 × 970 ) / 5

LCM(565,970) = 548050 / 5

LCM(565,970) = 109610


Lets's calculate GCF of 63,1003

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109610/1

Therefore the LCM of Fractions 565/63,970/1003 is 109610

Greatest Common Factor of 63,1003 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,1003 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 1003

List of positive integer factors of 1003 that divides 1003 without a remainder.

1,17,59,1003

Greatest Common Factor

We found the factors 63,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 63,1003 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 565/63, 970/1003

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 565/63, 970/1003?

Answer: LCM of Numerators as per given numbers 565/63, 970/1003 is

LCM of Numerators i.e. for 565,970 is 109610

GCF of denominators i.e. for 63,1003 is 1.

Thus, LCM of Fractions is 109610.Finally, LCM of Fractions for 565/63, 970/1003 is 109610.