Least Common Multiple of 62/260, 616/288, 872/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/260, 616/288, 872/658 quickly i.e. 1040732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/260, 616/288, 872/658 is 1040732.

LCM(62/260, 616/288, 872/658) = 1040732

LCM of 62/260, 616/288, 872/658

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 62/260,616/288,872/658

Given numbers are 62/260,616/288,872/658

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 62,616,872

Least Common Multiple of Numerators i.e. LCM of 62,616,872 is 2081464.

GCF of Denominators means GCF of 260,288,658 as per the given fractions.

GCF of 260,288,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,616,872

LCM of Fractions 62/260,616/288,872/658 is 1040732

2 62, 616, 872
2 31, 308, 436
2 31, 154, 218
31, 77, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 77 x 109 = 2081464

Least Common Multiple of 62,616,872 with GCF Formula

Least Common Multiple of 62,616,872 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 62,616,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,616,872) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(62,616,872) x common factors =2 x 8 = 16

LCM(62,616,872) = ( 62 × 616 × 872 ) / 16

LCM(62,616,872) = 33303424 / 16

LCM(62,616,872) = 2081464


Lets's calculate GCF of 260,288,658

2 260, 288, 658
130, 144, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2081464/2

Therefore the LCM of Fractions 62/260,616/288,872/658 is 1040732

Greatest Common Factor of 260,288,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,288,658 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 260,288,658 . The biggest common factor number is the GCF number.
So the greatest common factor 260,288,658 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 62/260, 616/288, 872/658

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 62/260, 616/288, 872/658?

Answer: LCM of Numerators as per given numbers 62/260, 616/288, 872/658 is

LCM of Numerators i.e. for 62,616,872 is 2081464

GCF of denominators i.e. for 260,288,658 is 2.

Thus, LCM of Fractions is 1040732.Finally, LCM of Fractions for 62/260, 616/288, 872/658 is 1040732.