Least Common Multiple of 858/56, 653/86, 498/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 858/56, 653/86, 498/987 quickly i.e. 46502742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 858/56, 653/86, 498/987 is 46502742.

LCM(858/56, 653/86, 498/987) = 46502742

LCM of 858/56, 653/86, 498/987

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 858/56,653/86,498/987

Given numbers are 858/56,653/86,498/987

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 858,653,498

Least Common Multiple of Numerators i.e. LCM of 858,653,498 is 46502742.

GCF of Denominators means GCF of 56,86,987 as per the given fractions.

GCF of 56,86,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 858,653,498

LCM of Fractions 858/56,653/86,498/987 is 46502742

2 858, 653, 498
3 429, 653, 249
143, 653, 83

∴ So the LCM of the given numbers is 2 x 3 x 143 x 653 x 83 = 46502742

Least Common Multiple of 858,653,498 with GCF Formula

Least Common Multiple of 858,653,498 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 858,653,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,653,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(858,653,498) x common factors =1 x 6 = 6

LCM(858,653,498) = ( 858 × 653 × 498 ) / 6

LCM(858,653,498) = 279016452 / 6

LCM(858,653,498) = 46502742


Lets's calculate GCF of 56,86,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46502742/1

Therefore the LCM of Fractions 858/56,653/86,498/987 is 46502742

Greatest Common Factor of 56,86,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,86,987 By Matching Biggest Common Factor Method

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 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 56,86,987 . The biggest common factor number is the GCF number.
So the greatest common factor 56,86,987 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 858/56, 653/86, 498/987

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 858/56, 653/86, 498/987?

Answer: LCM of Numerators as per given numbers 858/56, 653/86, 498/987 is

LCM of Numerators i.e. for 858,653,498 is 46502742

GCF of denominators i.e. for 56,86,987 is 1.

Thus, LCM of Fractions is 46502742.Finally, LCM of Fractions for 858/56, 653/86, 498/987 is 46502742.