Least Common Multiple of 408/208, 167/481, 887/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 408/208, 167/481, 887/623 quickly i.e. 60436632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/208, 167/481, 887/623 is 60436632.

LCM(408/208, 167/481, 887/623) = 60436632

LCM of 408/208, 167/481, 887/623

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 408/208,167/481,887/623

Given numbers are 408/208,167/481,887/623

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 408,167,887

Least Common Multiple of Numerators i.e. LCM of 408,167,887 is 60436632.

GCF of Denominators means GCF of 208,481,623 as per the given fractions.

GCF of 208,481,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,167,887

LCM of Fractions 408/208,167/481,887/623 is 60436632

Given numbers has no common factors except 1. So, there LCM is their product i.e 60436632

Least Common Multiple of 408,167,887 with GCF Formula

Least Common Multiple of 408,167,887 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 408,167,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,167,887) = 1

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

GCF(408,167,887) x common factors =1 x 1 = 1

LCM(408,167,887) = ( 408 × 167 × 887 ) / 1

LCM(408,167,887) = 60436632 / 1

LCM(408,167,887) = 60436632


Lets's calculate GCF of 208,481,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60436632/1

Therefore the LCM of Fractions 408/208,167/481,887/623 is 60436632

Greatest Common Factor of 208,481,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,481,623 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 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 208,481,623 . The biggest common factor number is the GCF number.
So the greatest common factor 208,481,623 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 408/208, 167/481, 887/623

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 408/208, 167/481, 887/623?

Answer: LCM of Numerators as per given numbers 408/208, 167/481, 887/623 is

LCM of Numerators i.e. for 408,167,887 is 60436632

GCF of denominators i.e. for 208,481,623 is 1.

Thus, LCM of Fractions is 60436632.Finally, LCM of Fractions for 408/208, 167/481, 887/623 is 60436632.