Least Common Multiple of 208/530, 910/641, 144/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/530, 910/641, 144/172 quickly i.e. 65520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/530, 910/641, 144/172 is 65520.

LCM(208/530, 910/641, 144/172) = 65520

LCM of 208/530, 910/641, 144/172

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 208/530,910/641,144/172

Given numbers are 208/530,910/641,144/172

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 208,910,144

Least Common Multiple of Numerators i.e. LCM of 208,910,144 is 65520.

GCF of Denominators means GCF of 530,641,172 as per the given fractions.

GCF of 530,641,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,910,144

LCM of Fractions 208/530,910/641,144/172 is 65520

2 208, 910, 144
2 104, 455, 72
2 52, 455, 36
2 26, 455, 18
13 13, 455, 9
1, 35, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 1 x 35 x 9 = 65520

Least Common Multiple of 208,910,144 with GCF Formula

Least Common Multiple of 208,910,144 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 208,910,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,910,144) = 2

common factors(in case of two or more numbers have common factors) = 208

GCF(208,910,144) x common factors =2 x 208 = 416

LCM(208,910,144) = ( 208 × 910 × 144 ) / 416

LCM(208,910,144) = 27256320 / 416

LCM(208,910,144) = 65520


Lets's calculate GCF of 530,641,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65520/1

Therefore the LCM of Fractions 208/530,910/641,144/172 is 65520

Greatest Common Factor of 530,641,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,641,172 By Matching Biggest Common Factor Method

Factors of 530

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

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

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 530,641,172 . The biggest common factor number is the GCF number.
So the greatest common factor 530,641,172 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 208/530, 910/641, 144/172

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 208/530, 910/641, 144/172?

Answer: LCM of Numerators as per given numbers 208/530, 910/641, 144/172 is

LCM of Numerators i.e. for 208,910,144 is 65520

GCF of denominators i.e. for 530,641,172 is 1.

Thus, LCM of Fractions is 65520.Finally, LCM of Fractions for 208/530, 910/641, 144/172 is 65520.