Least Common Multiple of 94/20, 506/90, 763/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/20, 506/90, 763/274 quickly i.e. 9072833 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/20, 506/90, 763/274 is 9072833.

LCM(94/20, 506/90, 763/274) = 9072833

LCM of 94/20, 506/90, 763/274

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 94/20,506/90,763/274

Given numbers are 94/20,506/90,763/274

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 94,506,763

Least Common Multiple of Numerators i.e. LCM of 94,506,763 is 18145666.

GCF of Denominators means GCF of 20,90,274 as per the given fractions.

GCF of 20,90,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,506,763

LCM of Fractions 94/20,506/90,763/274 is 9072833

2 94, 506, 763
47, 253, 763

∴ So the LCM of the given numbers is 2 x 47 x 253 x 763 = 18145666

Least Common Multiple of 94,506,763 with GCF Formula

Least Common Multiple of 94,506,763 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 94,506,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,506,763) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,506,763) x common factors =1 x 2 = 2

LCM(94,506,763) = ( 94 × 506 × 763 ) / 2

LCM(94,506,763) = 36291332 / 2

LCM(94,506,763) = 18145666


Lets's calculate GCF of 20,90,274

2 20, 90, 274
10, 45, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18145666/2

Therefore the LCM of Fractions 94/20,506/90,763/274 is 9072833

Greatest Common Factor of 20,90,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,90,274 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 20,90,274 . The biggest common factor number is the GCF number.
So the greatest common factor 20,90,274 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/20, 506/90, 763/274

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 94/20, 506/90, 763/274?

Answer: LCM of Numerators as per given numbers 94/20, 506/90, 763/274 is

LCM of Numerators i.e. for 94,506,763 is 18145666

GCF of denominators i.e. for 20,90,274 is 2.

Thus, LCM of Fractions is 9072833.Finally, LCM of Fractions for 94/20, 506/90, 763/274 is 9072833.