Least Common Multiple of 8930/684, 9812/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8930/684, 9812/574 quickly i.e. 21905290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8930/684, 9812/574 is 21905290.

LCM(8930/684, 9812/574) = 21905290

LCM of 8930/684, 9812/574

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 8930/684,9812/574

Given numbers are 8930/684,9812/574

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 8930,9812

Least Common Multiple of Numerators i.e. LCM of 8930,9812 is 43810580.

GCF of Denominators means GCF of 684,574 as per the given fractions.

GCF of 684,574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8930,9812

LCM of Fractions 8930/684,9812/574 is 21905290

2 8930, 9812
4465, 4906

∴ So the LCM of the given numbers is 2 x 4465 x 4906 = 43810580

Least Common Multiple of 8930,9812 with GCF Formula

Least Common Multiple of 8930,9812 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 8930,9812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8930,9812) = 2

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

GCF(8930,9812) x common factors =2 x 1 = 2

LCM(8930,9812) = ( 8930 × 9812 ) / 2

LCM(8930,9812) = 87621160 / 2

LCM(8930,9812) = 43810580


Lets's calculate GCF of 684,574

2 684, 574
342, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43810580/2

Therefore the LCM of Fractions 8930/684,9812/574 is 21905290

Greatest Common Factor of 684,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,574 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 684,574 . The biggest common factor number is the GCF number.
So the greatest common factor 684,574 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 8930/684, 9812/574

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 8930/684, 9812/574?

Answer: LCM of Numerators as per given numbers 8930/684, 9812/574 is

LCM of Numerators i.e. for 8930,9812 is 43810580

GCF of denominators i.e. for 684,574 is 2.

Thus, LCM of Fractions is 21905290.Finally, LCM of Fractions for 8930/684, 9812/574 is 21905290.