Least Common Multiple of 58/979, 98/352, 142/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/979, 98/352, 142/402 quickly i.e. 201782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/979, 98/352, 142/402 is 201782.

LCM(58/979, 98/352, 142/402) = 201782

LCM of 58/979, 98/352, 142/402

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 58/979,98/352,142/402

Given numbers are 58/979,98/352,142/402

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 58,98,142

Least Common Multiple of Numerators i.e. LCM of 58,98,142 is 201782.

GCF of Denominators means GCF of 979,352,402 as per the given fractions.

GCF of 979,352,402 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,98,142

LCM of Fractions 58/979,98/352,142/402 is 201782

2 58, 98, 142
29, 49, 71

∴ So the LCM of the given numbers is 2 x 29 x 49 x 71 = 201782

Least Common Multiple of 58,98,142 with GCF Formula

Least Common Multiple of 58,98,142 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 58,98,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,98,142) = 2

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

GCF(58,98,142) x common factors =2 x 2 = 4

LCM(58,98,142) = ( 58 × 98 × 142 ) / 4

LCM(58,98,142) = 807128 / 4

LCM(58,98,142) = 201782


Lets's calculate GCF of 979,352,402

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201782/1

Therefore the LCM of Fractions 58/979,98/352,142/402 is 201782

Greatest Common Factor of 979,352,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,352,402 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 979,352,402 . The biggest common factor number is the GCF number.
So the greatest common factor 979,352,402 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 58/979, 98/352, 142/402

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 58/979, 98/352, 142/402?

Answer: LCM of Numerators as per given numbers 58/979, 98/352, 142/402 is

LCM of Numerators i.e. for 58,98,142 is 201782

GCF of denominators i.e. for 979,352,402 is 1.

Thus, LCM of Fractions is 201782.Finally, LCM of Fractions for 58/979, 98/352, 142/402 is 201782.