Least Common Multiple of 982/54, 235/46, 274/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 982/54, 235/46, 274/399 quickly i.e. 31615490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 982/54, 235/46, 274/399 is 31615490.

LCM(982/54, 235/46, 274/399) = 31615490

LCM of 982/54, 235/46, 274/399

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 982/54,235/46,274/399

Given numbers are 982/54,235/46,274/399

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 982,235,274

Least Common Multiple of Numerators i.e. LCM of 982,235,274 is 31615490.

GCF of Denominators means GCF of 54,46,399 as per the given fractions.

GCF of 54,46,399 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 982,235,274

LCM of Fractions 982/54,235/46,274/399 is 31615490

2 982, 235, 274
491, 235, 137

∴ So the LCM of the given numbers is 2 x 491 x 235 x 137 = 31615490

Least Common Multiple of 982,235,274 with GCF Formula

Least Common Multiple of 982,235,274 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 982,235,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(982,235,274) = 1

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

GCF(982,235,274) x common factors =1 x 2 = 2

LCM(982,235,274) = ( 982 × 235 × 274 ) / 2

LCM(982,235,274) = 63230980 / 2

LCM(982,235,274) = 31615490


Lets's calculate GCF of 54,46,399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31615490/1

Therefore the LCM of Fractions 982/54,235/46,274/399 is 31615490

Greatest Common Factor of 54,46,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,46,399 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 54,46,399 . The biggest common factor number is the GCF number.
So the greatest common factor 54,46,399 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 982/54, 235/46, 274/399

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 982/54, 235/46, 274/399?

Answer: LCM of Numerators as per given numbers 982/54, 235/46, 274/399 is

LCM of Numerators i.e. for 982,235,274 is 31615490

GCF of denominators i.e. for 54,46,399 is 1.

Thus, LCM of Fractions is 31615490.Finally, LCM of Fractions for 982/54, 235/46, 274/399 is 31615490.