Least Common Multiple of 530/646, 108/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/646, 108/374 quickly i.e. 28620/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/646, 108/374 is 28620/34.

LCM(530/646, 108/374) = 28620/34

LCM of 530/646, 108/374

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 530/646,108/374

Given numbers are 530/646,108/374

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 530,108

Least Common Multiple of Numerators i.e. LCM of 530,108 is 28620.

GCF of Denominators means GCF of 646,374 as per the given fractions.

GCF of 646,374 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,108

LCM of Fractions 530/646,108/374 is 28620/34

2 530, 108
265, 54

∴ So the LCM of the given numbers is 2 x 265 x 54 = 28620

Least Common Multiple of 530,108 with GCF Formula

Least Common Multiple of 530,108 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 530,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,108) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(530,108) x common factors =2 x 1 = 2

LCM(530,108) = ( 530 × 108 ) / 2

LCM(530,108) = 57240 / 2

LCM(530,108) = 28620


Lets's calculate GCF of 646,374

2 646, 374
17 323, 187
19, 11

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28620/34

Therefore the LCM of Fractions 530/646,108/374 is 28620/34

Greatest Common Factor of 646,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,374 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 646,374 . The biggest common factor number is the GCF number.
So the greatest common factor 646,374 is 34.


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 530/646, 108/374

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 530/646, 108/374?

Answer: LCM of Numerators as per given numbers 530/646, 108/374 is

LCM of Numerators i.e. for 530,108 is 28620

GCF of denominators i.e. for 646,374 is 34.

Thus, LCM of Fractions is 28620/34.Finally, LCM of Fractions for 530/646, 108/374 is 28620/34.