Least Common Multiple of 420/76, 841/90, 849/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/76, 841/90, 849/424 quickly i.e. 49980630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/76, 841/90, 849/424 is 49980630.

LCM(420/76, 841/90, 849/424) = 49980630

LCM of 420/76, 841/90, 849/424

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 420/76,841/90,849/424

Given numbers are 420/76,841/90,849/424

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 420,841,849

Least Common Multiple of Numerators i.e. LCM of 420,841,849 is 99961260.

GCF of Denominators means GCF of 76,90,424 as per the given fractions.

GCF of 76,90,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,841,849

LCM of Fractions 420/76,841/90,849/424 is 49980630

3 420, 841, 849
140, 841, 283

∴ So the LCM of the given numbers is 3 x 140 x 841 x 283 = 99961260

Least Common Multiple of 420,841,849 with GCF Formula

Least Common Multiple of 420,841,849 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 420,841,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,841,849) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(420,841,849) x common factors =1 x 3 = 3

LCM(420,841,849) = ( 420 × 841 × 849 ) / 3

LCM(420,841,849) = 299883780 / 3

LCM(420,841,849) = 99961260


Lets's calculate GCF of 76,90,424

2 76, 90, 424
38, 45, 212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99961260/2

Therefore the LCM of Fractions 420/76,841/90,849/424 is 49980630

Greatest Common Factor of 76,90,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,90,424 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 76,90,424 . The biggest common factor number is the GCF number.
So the greatest common factor 76,90,424 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 420/76, 841/90, 849/424

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 420/76, 841/90, 849/424?

Answer: LCM of Numerators as per given numbers 420/76, 841/90, 849/424 is

LCM of Numerators i.e. for 420,841,849 is 99961260

GCF of denominators i.e. for 76,90,424 is 2.

Thus, LCM of Fractions is 49980630.Finally, LCM of Fractions for 420/76, 841/90, 849/424 is 49980630.