Least Common Multiple of 82/560, 78/983, 542/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/560, 78/983, 542/835 quickly i.e. 866658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/560, 78/983, 542/835 is 866658.

LCM(82/560, 78/983, 542/835) = 866658

LCM of 82/560, 78/983, 542/835

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 82/560,78/983,542/835

Given numbers are 82/560,78/983,542/835

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 82,78,542

Least Common Multiple of Numerators i.e. LCM of 82,78,542 is 866658.

GCF of Denominators means GCF of 560,983,835 as per the given fractions.

GCF of 560,983,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,78,542

LCM of Fractions 82/560,78/983,542/835 is 866658

2 82, 78, 542
41, 39, 271

∴ So the LCM of the given numbers is 2 x 41 x 39 x 271 = 866658

Least Common Multiple of 82,78,542 with GCF Formula

Least Common Multiple of 82,78,542 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 82,78,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,78,542) = 2

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

GCF(82,78,542) x common factors =2 x 2 = 4

LCM(82,78,542) = ( 82 × 78 × 542 ) / 4

LCM(82,78,542) = 3466632 / 4

LCM(82,78,542) = 866658


Lets's calculate GCF of 560,983,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 866658/1

Therefore the LCM of Fractions 82/560,78/983,542/835 is 866658

Greatest Common Factor of 560,983,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,983,835 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 560,983,835 . The biggest common factor number is the GCF number.
So the greatest common factor 560,983,835 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 82/560, 78/983, 542/835

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 82/560, 78/983, 542/835?

Answer: LCM of Numerators as per given numbers 82/560, 78/983, 542/835 is

LCM of Numerators i.e. for 82,78,542 is 866658

GCF of denominators i.e. for 560,983,835 is 1.

Thus, LCM of Fractions is 866658.Finally, LCM of Fractions for 82/560, 78/983, 542/835 is 866658.