Least Common Multiple of 26/341, 312/678, 462/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/341, 312/678, 462/530 quickly i.e. 24024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/341, 312/678, 462/530 is 24024.

LCM(26/341, 312/678, 462/530) = 24024

LCM of 26/341, 312/678, 462/530

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 26/341,312/678,462/530

Given numbers are 26/341,312/678,462/530

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 26,312,462

Least Common Multiple of Numerators i.e. LCM of 26,312,462 is 24024.

GCF of Denominators means GCF of 341,678,530 as per the given fractions.

GCF of 341,678,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,312,462

LCM of Fractions 26/341,312/678,462/530 is 24024

2 26, 312, 462
3 13, 156, 231
13 13, 52, 77
1, 4, 77

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 4 x 77 = 24024

Least Common Multiple of 26,312,462 with GCF Formula

Least Common Multiple of 26,312,462 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 26,312,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,312,462) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(26,312,462) x common factors =2 x 78 = 156

LCM(26,312,462) = ( 26 × 312 × 462 ) / 156

LCM(26,312,462) = 3747744 / 156

LCM(26,312,462) = 24024


Lets's calculate GCF of 341,678,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24024/1

Therefore the LCM of Fractions 26/341,312/678,462/530 is 24024

Greatest Common Factor of 341,678,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,678,530 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 341,678,530 . The biggest common factor number is the GCF number.
So the greatest common factor 341,678,530 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 26/341, 312/678, 462/530

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 26/341, 312/678, 462/530?

Answer: LCM of Numerators as per given numbers 26/341, 312/678, 462/530 is

LCM of Numerators i.e. for 26,312,462 is 24024

GCF of denominators i.e. for 341,678,530 is 1.

Thus, LCM of Fractions is 24024.Finally, LCM of Fractions for 26/341, 312/678, 462/530 is 24024.