Least Common Multiple of 982/84, 272/31, 782/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/84, 272/31, 782/253 quickly i.e. 3071696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/84, 272/31, 782/253 is 3071696.

LCM(982/84, 272/31, 782/253) = 3071696

LCM of 982/84, 272/31, 782/253

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 982/84,272/31,782/253

Given numbers are 982/84,272/31,782/253

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 982,272,782

Least Common Multiple of Numerators i.e. LCM of 982,272,782 is 3071696.

GCF of Denominators means GCF of 84,31,253 as per the given fractions.

GCF of 84,31,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,272,782

LCM of Fractions 982/84,272/31,782/253 is 3071696

2 982, 272, 782
17 491, 136, 391
491, 8, 23

∴ So the LCM of the given numbers is 2 x 17 x 491 x 8 x 23 = 3071696

Least Common Multiple of 982,272,782 with GCF Formula

Least Common Multiple of 982,272,782 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 982,272,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,272,782) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(982,272,782) x common factors =2 x 34 = 68

LCM(982,272,782) = ( 982 × 272 × 782 ) / 68

LCM(982,272,782) = 208875328 / 68

LCM(982,272,782) = 3071696


Lets's calculate GCF of 84,31,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3071696/1

Therefore the LCM of Fractions 982/84,272/31,782/253 is 3071696

Greatest Common Factor of 84,31,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,31,253 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 84,31,253 . The biggest common factor number is the GCF number.
So the greatest common factor 84,31,253 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 982/84, 272/31, 782/253

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 982/84, 272/31, 782/253?

Answer: LCM of Numerators as per given numbers 982/84, 272/31, 782/253 is

LCM of Numerators i.e. for 982,272,782 is 3071696

GCF of denominators i.e. for 84,31,253 is 1.

Thus, LCM of Fractions is 3071696.Finally, LCM of Fractions for 982/84, 272/31, 782/253 is 3071696.