Least Common Multiple of 942/90, 360/3291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 942/90, 360/3291 quickly i.e. 18840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 942/90, 360/3291 is 18840.

LCM(942/90, 360/3291) = 18840

LCM of 942/90, 360/3291

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 942/90,360/3291

Given numbers are 942/90,360/3291

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 942,360

Least Common Multiple of Numerators i.e. LCM of 942,360 is 56520.

GCF of Denominators means GCF of 90,3291 as per the given fractions.

GCF of 90,3291 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 942,360

LCM of Fractions 942/90,360/3291 is 18840

2 942, 360
3 471, 180
157, 60

∴ So the LCM of the given numbers is 2 x 3 x 157 x 60 = 56520

Least Common Multiple of 942,360 with GCF Formula

Least Common Multiple of 942,360 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 942,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,360) = 6

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

GCF(942,360) x common factors =6 x 1 = 6

LCM(942,360) = ( 942 × 360 ) / 6

LCM(942,360) = 339120 / 6

LCM(942,360) = 56520


Lets's calculate GCF of 90,3291

3 90, 3291
30, 1097

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56520/3

Therefore the LCM of Fractions 942/90,360/3291 is 18840

Greatest Common Factor of 90,3291 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,3291 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 3291

List of positive integer factors of 3291 that divides 3291 without a remainder.

1,3,1097,3291

Greatest Common Factor

We found the factors 90,3291 . The biggest common factor number is the GCF number.
So the greatest common factor 90,3291 is 3.


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 942/90, 360/3291

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 942/90, 360/3291?

Answer: LCM of Numerators as per given numbers 942/90, 360/3291 is

LCM of Numerators i.e. for 942,360 is 56520

GCF of denominators i.e. for 90,3291 is 3.

Thus, LCM of Fractions is 18840.Finally, LCM of Fractions for 942/90, 360/3291 is 18840.