Least Common Multiple of 90/292, 1814/2902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/292, 1814/2902 quickly i.e. 40815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/292, 1814/2902 is 40815.

LCM(90/292, 1814/2902) = 40815

LCM of 90/292, 1814/2902

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 90/292,1814/2902

Given numbers are 90/292,1814/2902

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 90,1814

Least Common Multiple of Numerators i.e. LCM of 90,1814 is 81630.

GCF of Denominators means GCF of 292,2902 as per the given fractions.

GCF of 292,2902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,1814

LCM of Fractions 90/292,1814/2902 is 40815

2 90, 1814
45, 907

∴ So the LCM of the given numbers is 2 x 45 x 907 = 81630

Least Common Multiple of 90,1814 with GCF Formula

Least Common Multiple of 90,1814 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 90,1814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,1814) = 2

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

GCF(90,1814) x common factors =2 x 1 = 2

LCM(90,1814) = ( 90 × 1814 ) / 2

LCM(90,1814) = 163260 / 2

LCM(90,1814) = 81630


Lets's calculate GCF of 292,2902

2 292, 2902
146, 1451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81630/2

Therefore the LCM of Fractions 90/292,1814/2902 is 40815

Greatest Common Factor of 292,2902 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,2902 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 2902

List of positive integer factors of 2902 that divides 2902 without a remainder.

1,2,1451,2902

Greatest Common Factor

We found the factors 292,2902 . The biggest common factor number is the GCF number.
So the greatest common factor 292,2902 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 90/292, 1814/2902

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 90/292, 1814/2902?

Answer: LCM of Numerators as per given numbers 90/292, 1814/2902 is

LCM of Numerators i.e. for 90,1814 is 81630

GCF of denominators i.e. for 292,2902 is 2.

Thus, LCM of Fractions is 40815.Finally, LCM of Fractions for 90/292, 1814/2902 is 40815.