Least Common Multiple of 560/253, 753/355, 529/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 560/253, 753/355, 529/771 quickly i.e. 223068720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/253, 753/355, 529/771 is 223068720.

LCM(560/253, 753/355, 529/771) = 223068720

LCM of 560/253, 753/355, 529/771

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 560/253,753/355,529/771

Given numbers are 560/253,753/355,529/771

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 560,753,529

Least Common Multiple of Numerators i.e. LCM of 560,753,529 is 223068720.

GCF of Denominators means GCF of 253,355,771 as per the given fractions.

GCF of 253,355,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,753,529

LCM of Fractions 560/253,753/355,529/771 is 223068720

Given numbers has no common factors except 1. So, there LCM is their product i.e 223068720

Least Common Multiple of 560,753,529 with GCF Formula

Least Common Multiple of 560,753,529 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 560,753,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,753,529) = 1

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

GCF(560,753,529) x common factors =1 x 1 = 1

LCM(560,753,529) = ( 560 × 753 × 529 ) / 1

LCM(560,753,529) = 223068720 / 1

LCM(560,753,529) = 223068720


Lets's calculate GCF of 253,355,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223068720/1

Therefore the LCM of Fractions 560/253,753/355,529/771 is 223068720

Greatest Common Factor of 253,355,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,355,771 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 253,355,771 . The biggest common factor number is the GCF number.
So the greatest common factor 253,355,771 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 560/253, 753/355, 529/771

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 560/253, 753/355, 529/771?

Answer: LCM of Numerators as per given numbers 560/253, 753/355, 529/771 is

LCM of Numerators i.e. for 560,753,529 is 223068720

GCF of denominators i.e. for 253,355,771 is 1.

Thus, LCM of Fractions is 223068720.Finally, LCM of Fractions for 560/253, 753/355, 529/771 is 223068720.