Least Common Multiple of 420/90, 8654/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/90, 8654/882 quickly i.e. 1817340/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/90, 8654/882 is 1817340/18.

LCM(420/90, 8654/882) = 1817340/18

LCM of 420/90, 8654/882

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 420/90,8654/882

Given numbers are 420/90,8654/882

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 420,8654

Least Common Multiple of Numerators i.e. LCM of 420,8654 is 1817340.

GCF of Denominators means GCF of 90,882 as per the given fractions.

GCF of 90,882 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,8654

LCM of Fractions 420/90,8654/882 is 1817340/18

2 420, 8654
210, 4327

∴ So the LCM of the given numbers is 2 x 210 x 4327 = 1817340

Least Common Multiple of 420,8654 with GCF Formula

Least Common Multiple of 420,8654 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 420,8654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,8654) = 2

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

GCF(420,8654) x common factors =2 x 1 = 2

LCM(420,8654) = ( 420 × 8654 ) / 2

LCM(420,8654) = 3634680 / 2

LCM(420,8654) = 1817340


Lets's calculate GCF of 90,882

2 90, 882
3 45, 441
3 15, 147
5, 49

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1817340/18

Therefore the LCM of Fractions 420/90,8654/882 is 1817340/18

Greatest Common Factor of 90,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,882 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 90,882 . The biggest common factor number is the GCF number.
So the greatest common factor 90,882 is 18.


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 420/90, 8654/882

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 420/90, 8654/882?

Answer: LCM of Numerators as per given numbers 420/90, 8654/882 is

LCM of Numerators i.e. for 420,8654 is 1817340

GCF of denominators i.e. for 90,882 is 18.

Thus, LCM of Fractions is 1817340/18.Finally, LCM of Fractions for 420/90, 8654/882 is 1817340/18.