Least Common Multiple of 82/965, 545/767, 270/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/965, 545/767, 270/531 quickly i.e. 1206630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/965, 545/767, 270/531 is 1206630.

LCM(82/965, 545/767, 270/531) = 1206630

LCM of 82/965, 545/767, 270/531

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 82/965,545/767,270/531

Given numbers are 82/965,545/767,270/531

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 82,545,270

Least Common Multiple of Numerators i.e. LCM of 82,545,270 is 1206630.

GCF of Denominators means GCF of 965,767,531 as per the given fractions.

GCF of 965,767,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,545,270

LCM of Fractions 82/965,545/767,270/531 is 1206630

2 82, 545, 270
5 41, 545, 135
41, 109, 27

∴ So the LCM of the given numbers is 2 x 5 x 41 x 109 x 27 = 1206630

Least Common Multiple of 82,545,270 with GCF Formula

Least Common Multiple of 82,545,270 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 82,545,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,545,270) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(82,545,270) x common factors =1 x 10 = 10

LCM(82,545,270) = ( 82 × 545 × 270 ) / 10

LCM(82,545,270) = 12066300 / 10

LCM(82,545,270) = 1206630


Lets's calculate GCF of 965,767,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1206630/1

Therefore the LCM of Fractions 82/965,545/767,270/531 is 1206630

Greatest Common Factor of 965,767,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 965,767,531 By Matching Biggest Common Factor Method

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 965,767,531 . The biggest common factor number is the GCF number.
So the greatest common factor 965,767,531 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/965, 545/767, 270/531

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 82/965, 545/767, 270/531?

Answer: LCM of Numerators as per given numbers 82/965, 545/767, 270/531 is

LCM of Numerators i.e. for 82,545,270 is 1206630

GCF of denominators i.e. for 965,767,531 is 1.

Thus, LCM of Fractions is 1206630.Finally, LCM of Fractions for 82/965, 545/767, 270/531 is 1206630.