Least Common Multiple of 59/106, 862/160, 524/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/106, 862/160, 524/146 quickly i.e. 6662398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/106, 862/160, 524/146 is 6662398.

LCM(59/106, 862/160, 524/146) = 6662398

LCM of 59/106, 862/160, 524/146

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 59/106,862/160,524/146

Given numbers are 59/106,862/160,524/146

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 59,862,524

Least Common Multiple of Numerators i.e. LCM of 59,862,524 is 13324796.

GCF of Denominators means GCF of 106,160,146 as per the given fractions.

GCF of 106,160,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,862,524

LCM of Fractions 59/106,862/160,524/146 is 6662398

2 59, 862, 524
59, 431, 262

∴ So the LCM of the given numbers is 2 x 59 x 431 x 262 = 13324796

Least Common Multiple of 59,862,524 with GCF Formula

Least Common Multiple of 59,862,524 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 59,862,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,862,524) = 1

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

GCF(59,862,524) x common factors =1 x 2 = 2

LCM(59,862,524) = ( 59 × 862 × 524 ) / 2

LCM(59,862,524) = 26649592 / 2

LCM(59,862,524) = 13324796


Lets's calculate GCF of 106,160,146

2 106, 160, 146
53, 80, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13324796/2

Therefore the LCM of Fractions 59/106,862/160,524/146 is 6662398

Greatest Common Factor of 106,160,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,160,146 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 106,160,146 . The biggest common factor number is the GCF number.
So the greatest common factor 106,160,146 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 59/106, 862/160, 524/146

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 59/106, 862/160, 524/146?

Answer: LCM of Numerators as per given numbers 59/106, 862/160, 524/146 is

LCM of Numerators i.e. for 59,862,524 is 13324796

GCF of denominators i.e. for 106,160,146 is 2.

Thus, LCM of Fractions is 6662398.Finally, LCM of Fractions for 59/106, 862/160, 524/146 is 6662398.