Least Common Multiple of 928/84, 906/7921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/84, 906/7921 quickly i.e. 420384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/84, 906/7921 is 420384.

LCM(928/84, 906/7921) = 420384

LCM of 928/84, 906/7921

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 928/84,906/7921

Given numbers are 928/84,906/7921

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 928,906

Least Common Multiple of Numerators i.e. LCM of 928,906 is 420384.

GCF of Denominators means GCF of 84,7921 as per the given fractions.

GCF of 84,7921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,906

LCM of Fractions 928/84,906/7921 is 420384

2 928, 906
464, 453

∴ So the LCM of the given numbers is 2 x 464 x 453 = 420384

Least Common Multiple of 928,906 with GCF Formula

Least Common Multiple of 928,906 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 928,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,906) = 2

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

GCF(928,906) x common factors =2 x 1 = 2

LCM(928,906) = ( 928 × 906 ) / 2

LCM(928,906) = 840768 / 2

LCM(928,906) = 420384


Lets's calculate GCF of 84,7921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420384/1

Therefore the LCM of Fractions 928/84,906/7921 is 420384

Greatest Common Factor of 84,7921 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,7921 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 7921

List of positive integer factors of 7921 that divides 7921 without a remainder.

1,89,7921

Greatest Common Factor

We found the factors 84,7921 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7921 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 928/84, 906/7921

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 928/84, 906/7921?

Answer: LCM of Numerators as per given numbers 928/84, 906/7921 is

LCM of Numerators i.e. for 928,906 is 420384

GCF of denominators i.e. for 84,7921 is 1.

Thus, LCM of Fractions is 420384.Finally, LCM of Fractions for 928/84, 906/7921 is 420384.