Least Common Multiple of 20/26, 98/58, 87/58, 98/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/26, 98/58, 87/58, 98/624 quickly i.e. 42630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/26, 98/58, 87/58, 98/624 is 42630.

LCM(20/26, 98/58, 87/58, 98/624) = 42630

LCM of 20/26, 98/58, 87/58, 98/624

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 20/26,98/58,87/58,98/624

Given numbers are 20/26,98/58,87/58,98/624

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 20,98,87,98

Least Common Multiple of Numerators i.e. LCM of 20,98,87,98 is 85260.

GCF of Denominators means GCF of 26,58,58,624 as per the given fractions.

GCF of 26,58,58,624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,98,87,98

LCM of Fractions 20/26,98/58,87/58,98/624 is 42630

2 20, 98, 87, 98
7 10, 49, 87, 49
7 10, 7, 87, 7
10, 1, 87, 1

∴ So the LCM of the given numbers is 2 x 7 x 7 x 10 x 1 x 87 x 1 = 85260

Least Common Multiple of 20,98,87,98 with GCF Formula

Least Common Multiple of 20,98,87,98 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 20,98,87,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,98,87,98) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(20,98,87,98) x common factors =1 x 196 = 196

LCM(20,98,87,98) = ( 20 × 98 × 87 × 98 ) / 196

LCM(20,98,87,98) = 16710960 / 196

LCM(20,98,87,98) = 85260


Lets's calculate GCF of 26,58,58,624

2 26, 58, 58, 624
13, 29, 29, 312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85260/2

Therefore the LCM of Fractions 20/26,98/58,87/58,98/624 is 42630

Greatest Common Factor of 26,58,58,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,58,58,624 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 26,58,58,624 . The biggest common factor number is the GCF number.
So the greatest common factor 26,58,58,624 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 20/26, 98/58, 87/58, 98/624

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 20/26, 98/58, 87/58, 98/624?

Answer: LCM of Numerators as per given numbers 20/26, 98/58, 87/58, 98/624 is

LCM of Numerators i.e. for 20,98,87,98 is 85260

GCF of denominators i.e. for 26,58,58,624 is 2.

Thus, LCM of Fractions is 42630.Finally, LCM of Fractions for 20/26, 98/58, 87/58, 98/624 is 42630.