Least Common Multiple of 82/854, 975/270, 263/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/854, 975/270, 263/654 quickly i.e. 10513425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/854, 975/270, 263/654 is 10513425.

LCM(82/854, 975/270, 263/654) = 10513425

LCM of 82/854, 975/270, 263/654

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 82/854,975/270,263/654

Given numbers are 82/854,975/270,263/654

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 82,975,263

Least Common Multiple of Numerators i.e. LCM of 82,975,263 is 21026850.

GCF of Denominators means GCF of 854,270,654 as per the given fractions.

GCF of 854,270,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,975,263

LCM of Fractions 82/854,975/270,263/654 is 10513425

Given numbers has no common factors except 1. So, there LCM is their product i.e 21026850

Least Common Multiple of 82,975,263 with GCF Formula

Least Common Multiple of 82,975,263 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 82,975,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,975,263) = 1

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

GCF(82,975,263) x common factors =1 x 1 = 1

LCM(82,975,263) = ( 82 × 975 × 263 ) / 1

LCM(82,975,263) = 21026850 / 1

LCM(82,975,263) = 21026850


Lets's calculate GCF of 854,270,654

2 854, 270, 654
427, 135, 327

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21026850/2

Therefore the LCM of Fractions 82/854,975/270,263/654 is 10513425

Greatest Common Factor of 854,270,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,270,654 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 854,270,654 . The biggest common factor number is the GCF number.
So the greatest common factor 854,270,654 is 2.


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 82/854, 975/270, 263/654

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 82/854, 975/270, 263/654?

Answer: LCM of Numerators as per given numbers 82/854, 975/270, 263/654 is

LCM of Numerators i.e. for 82,975,263 is 21026850

GCF of denominators i.e. for 854,270,654 is 2.

Thus, LCM of Fractions is 10513425.Finally, LCM of Fractions for 82/854, 975/270, 263/654 is 10513425.