Least Common Multiple of 217/878, 908/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/878, 908/244 quickly i.e. 98518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/878, 908/244 is 98518.

LCM(217/878, 908/244) = 98518

LCM of 217/878, 908/244

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 217/878,908/244

Given numbers are 217/878,908/244

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 217,908

Least Common Multiple of Numerators i.e. LCM of 217,908 is 197036.

GCF of Denominators means GCF of 878,244 as per the given fractions.

GCF of 878,244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,908

LCM of Fractions 217/878,908/244 is 98518

Given numbers has no common factors except 1. So, there LCM is their product i.e 197036

Least Common Multiple of 217,908 with GCF Formula

Least Common Multiple of 217,908 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 217,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,908) = 1

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

GCF(217,908) x common factors =1 x 1 = 1

LCM(217,908) = ( 217 × 908 ) / 1

LCM(217,908) = 197036 / 1

LCM(217,908) = 197036


Lets's calculate GCF of 878,244

2 878, 244
439, 122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197036/2

Therefore the LCM of Fractions 217/878,908/244 is 98518

Greatest Common Factor of 878,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,244 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 878,244 . The biggest common factor number is the GCF number.
So the greatest common factor 878,244 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 217/878, 908/244

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 217/878, 908/244?

Answer: LCM of Numerators as per given numbers 217/878, 908/244 is

LCM of Numerators i.e. for 217,908 is 197036

GCF of denominators i.e. for 878,244 is 2.

Thus, LCM of Fractions is 98518.Finally, LCM of Fractions for 217/878, 908/244 is 98518.