Least Common Multiple of 611/90, 657/3762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 611/90, 657/3762 quickly i.e. 401427/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 611/90, 657/3762 is 401427/18.

LCM(611/90, 657/3762) = 401427/18

LCM of 611/90, 657/3762

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 611/90,657/3762

Given numbers are 611/90,657/3762

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 611,657

Least Common Multiple of Numerators i.e. LCM of 611,657 is 401427.

GCF of Denominators means GCF of 90,3762 as per the given fractions.

GCF of 90,3762 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 611,657

LCM of Fractions 611/90,657/3762 is 401427/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 401427

Least Common Multiple of 611,657 with GCF Formula

Least Common Multiple of 611,657 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 611,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,657) = 1

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

GCF(611,657) x common factors =1 x 1 = 1

LCM(611,657) = ( 611 × 657 ) / 1

LCM(611,657) = 401427 / 1

LCM(611,657) = 401427


Lets's calculate GCF of 90,3762

2 90, 3762
3 45, 1881
3 15, 627
5, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401427/18

Therefore the LCM of Fractions 611/90,657/3762 is 401427/18

Greatest Common Factor of 90,3762 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,3762 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 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Greatest Common Factor

We found the factors 90,3762 . The biggest common factor number is the GCF number.
So the greatest common factor 90,3762 is 18.


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 611/90, 657/3762

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 611/90, 657/3762?

Answer: LCM of Numerators as per given numbers 611/90, 657/3762 is

LCM of Numerators i.e. for 611,657 is 401427

GCF of denominators i.e. for 90,3762 is 18.

Thus, LCM of Fractions is 401427/18.Finally, LCM of Fractions for 611/90, 657/3762 is 401427/18.