Least Common Multiple of 928/34, 116/75, 908/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/34, 116/75, 908/199 quickly i.e. 210656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/34, 116/75, 908/199 is 210656.

LCM(928/34, 116/75, 908/199) = 210656

LCM of 928/34, 116/75, 908/199

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 928/34,116/75,908/199

Given numbers are 928/34,116/75,908/199

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 928,116,908

Least Common Multiple of Numerators i.e. LCM of 928,116,908 is 210656.

GCF of Denominators means GCF of 34,75,199 as per the given fractions.

GCF of 34,75,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,116,908

LCM of Fractions 928/34,116/75,908/199 is 210656

2 928, 116, 908
2 464, 58, 454
29 232, 29, 227
8, 1, 227

∴ So the LCM of the given numbers is 2 x 2 x 29 x 8 x 1 x 227 = 210656

Least Common Multiple of 928,116,908 with GCF Formula

Least Common Multiple of 928,116,908 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 928,116,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,116,908) = 4

common factors(in case of two or more numbers have common factors) = 116

GCF(928,116,908) x common factors =4 x 116 = 464

LCM(928,116,908) = ( 928 × 116 × 908 ) / 464

LCM(928,116,908) = 97744384 / 464

LCM(928,116,908) = 210656


Lets's calculate GCF of 34,75,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210656/1

Therefore the LCM of Fractions 928/34,116/75,908/199 is 210656

Greatest Common Factor of 34,75,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,75,199 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 34,75,199 . The biggest common factor number is the GCF number.
So the greatest common factor 34,75,199 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 928/34, 116/75, 908/199

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 928/34, 116/75, 908/199?

Answer: LCM of Numerators as per given numbers 928/34, 116/75, 908/199 is

LCM of Numerators i.e. for 928,116,908 is 210656

GCF of denominators i.e. for 34,75,199 is 1.

Thus, LCM of Fractions is 210656.Finally, LCM of Fractions for 928/34, 116/75, 908/199 is 210656.