Least Common Multiple of 70/208, 642/481, 526/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/208, 642/481, 526/637 quickly i.e. 5909610/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/208, 642/481, 526/637 is 5909610/13.

LCM(70/208, 642/481, 526/637) = 5909610/13

LCM of 70/208, 642/481, 526/637

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 70/208,642/481,526/637

Given numbers are 70/208,642/481,526/637

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 70,642,526

Least Common Multiple of Numerators i.e. LCM of 70,642,526 is 5909610.

GCF of Denominators means GCF of 208,481,637 as per the given fractions.

GCF of 208,481,637 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,642,526

LCM of Fractions 70/208,642/481,526/637 is 5909610/13

2 70, 642, 526
35, 321, 263

∴ So the LCM of the given numbers is 2 x 35 x 321 x 263 = 5909610

Least Common Multiple of 70,642,526 with GCF Formula

Least Common Multiple of 70,642,526 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 70,642,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,642,526) = 2

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

GCF(70,642,526) x common factors =2 x 2 = 4

LCM(70,642,526) = ( 70 × 642 × 526 ) / 4

LCM(70,642,526) = 23638440 / 4

LCM(70,642,526) = 5909610


Lets's calculate GCF of 208,481,637

13 208, 481, 637
16, 37, 49

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5909610/13

Therefore the LCM of Fractions 70/208,642/481,526/637 is 5909610/13

Greatest Common Factor of 208,481,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,481,637 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 208,481,637 . The biggest common factor number is the GCF number.
So the greatest common factor 208,481,637 is 13.


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 70/208, 642/481, 526/637

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 70/208, 642/481, 526/637?

Answer: LCM of Numerators as per given numbers 70/208, 642/481, 526/637 is

LCM of Numerators i.e. for 70,642,526 is 5909610

GCF of denominators i.e. for 208,481,637 is 13.

Thus, LCM of Fractions is 5909610/13.Finally, LCM of Fractions for 70/208, 642/481, 526/637 is 5909610/13.