Least Common Multiple of 208/754, 5169/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/754, 5169/908 quickly i.e. 537576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/754, 5169/908 is 537576.

LCM(208/754, 5169/908) = 537576

LCM of 208/754, 5169/908

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 208/754,5169/908

Given numbers are 208/754,5169/908

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 208,5169

Least Common Multiple of Numerators i.e. LCM of 208,5169 is 1075152.

GCF of Denominators means GCF of 754,908 as per the given fractions.

GCF of 754,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,5169

LCM of Fractions 208/754,5169/908 is 537576

Given numbers has no common factors except 1. So, there LCM is their product i.e 1075152

Least Common Multiple of 208,5169 with GCF Formula

Least Common Multiple of 208,5169 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 208,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,5169) = 1

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

GCF(208,5169) x common factors =1 x 1 = 1

LCM(208,5169) = ( 208 × 5169 ) / 1

LCM(208,5169) = 1075152 / 1

LCM(208,5169) = 1075152


Lets's calculate GCF of 754,908

2 754, 908
377, 454

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075152/2

Therefore the LCM of Fractions 208/754,5169/908 is 537576

Greatest Common Factor of 754,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,908 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 754,908 . The biggest common factor number is the GCF number.
So the greatest common factor 754,908 is 2.


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 208/754, 5169/908

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 208/754, 5169/908?

Answer: LCM of Numerators as per given numbers 208/754, 5169/908 is

LCM of Numerators i.e. for 208,5169 is 1075152

GCF of denominators i.e. for 754,908 is 2.

Thus, LCM of Fractions is 537576.Finally, LCM of Fractions for 208/754, 5169/908 is 537576.