Least Common Multiple of 82/60, 927/56, 364/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/60, 927/56, 364/430 quickly i.e. 6917274 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/60, 927/56, 364/430 is 6917274.

LCM(82/60, 927/56, 364/430) = 6917274

LCM of 82/60, 927/56, 364/430

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 82/60,927/56,364/430

Given numbers are 82/60,927/56,364/430

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 82,927,364

Least Common Multiple of Numerators i.e. LCM of 82,927,364 is 13834548.

GCF of Denominators means GCF of 60,56,430 as per the given fractions.

GCF of 60,56,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,927,364

LCM of Fractions 82/60,927/56,364/430 is 6917274

2 82, 927, 364
41, 927, 182

∴ So the LCM of the given numbers is 2 x 41 x 927 x 182 = 13834548

Least Common Multiple of 82,927,364 with GCF Formula

Least Common Multiple of 82,927,364 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 82,927,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,927,364) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,927,364) x common factors =1 x 2 = 2

LCM(82,927,364) = ( 82 × 927 × 364 ) / 2

LCM(82,927,364) = 27669096 / 2

LCM(82,927,364) = 13834548


Lets's calculate GCF of 60,56,430

2 60, 56, 430
30, 28, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13834548/2

Therefore the LCM of Fractions 82/60,927/56,364/430 is 6917274

Greatest Common Factor of 60,56,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,56,430 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 60,56,430 . The biggest common factor number is the GCF number.
So the greatest common factor 60,56,430 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 82/60, 927/56, 364/430

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 82/60, 927/56, 364/430?

Answer: LCM of Numerators as per given numbers 82/60, 927/56, 364/430 is

LCM of Numerators i.e. for 82,927,364 is 13834548

GCF of denominators i.e. for 60,56,430 is 2.

Thus, LCM of Fractions is 6917274.Finally, LCM of Fractions for 82/60, 927/56, 364/430 is 6917274.