Least Common Multiple of 15/982, 198/144, 972/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/982, 198/144, 972/858 quickly i.e. 26730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/982, 198/144, 972/858 is 26730.

LCM(15/982, 198/144, 972/858) = 26730

LCM of 15/982, 198/144, 972/858

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 15/982,198/144,972/858

Given numbers are 15/982,198/144,972/858

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 15,198,972

Least Common Multiple of Numerators i.e. LCM of 15,198,972 is 53460.

GCF of Denominators means GCF of 982,144,858 as per the given fractions.

GCF of 982,144,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,198,972

LCM of Fractions 15/982,198/144,972/858 is 26730

2 15, 198, 972
3 15, 99, 486
3 5, 33, 162
5, 11, 54

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 11 x 54 = 53460

Least Common Multiple of 15,198,972 with GCF Formula

Least Common Multiple of 15,198,972 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 15,198,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,198,972) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(15,198,972) x common factors =3 x 18 = 54

LCM(15,198,972) = ( 15 × 198 × 972 ) / 54

LCM(15,198,972) = 2886840 / 54

LCM(15,198,972) = 53460


Lets's calculate GCF of 982,144,858

2 982, 144, 858
491, 72, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53460/2

Therefore the LCM of Fractions 15/982,198/144,972/858 is 26730

Greatest Common Factor of 982,144,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,144,858 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 982,144,858 . The biggest common factor number is the GCF number.
So the greatest common factor 982,144,858 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 15/982, 198/144, 972/858

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 15/982, 198/144, 972/858?

Answer: LCM of Numerators as per given numbers 15/982, 198/144, 972/858 is

LCM of Numerators i.e. for 15,198,972 is 53460

GCF of denominators i.e. for 982,144,858 is 2.

Thus, LCM of Fractions is 26730.Finally, LCM of Fractions for 15/982, 198/144, 972/858 is 26730.