Least Common Multiple of 90/222, 2587/5121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/222, 2587/5121 quickly i.e. 77610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/222, 2587/5121 is 77610.

LCM(90/222, 2587/5121) = 77610

LCM of 90/222, 2587/5121

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 90/222,2587/5121

Given numbers are 90/222,2587/5121

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 90,2587

Least Common Multiple of Numerators i.e. LCM of 90,2587 is 232830.

GCF of Denominators means GCF of 222,5121 as per the given fractions.

GCF of 222,5121 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,2587

LCM of Fractions 90/222,2587/5121 is 77610

Given numbers has no common factors except 1. So, there LCM is their product i.e 232830

Least Common Multiple of 90,2587 with GCF Formula

Least Common Multiple of 90,2587 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 90,2587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,2587) = 1

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

GCF(90,2587) x common factors =1 x 1 = 1

LCM(90,2587) = ( 90 × 2587 ) / 1

LCM(90,2587) = 232830 / 1

LCM(90,2587) = 232830


Lets's calculate GCF of 222,5121

3 222, 5121
74, 1707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232830/3

Therefore the LCM of Fractions 90/222,2587/5121 is 77610

Greatest Common Factor of 222,5121 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,5121 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 5121

List of positive integer factors of 5121 that divides 5121 without a remainder.

1,3,9,569,1707,5121

Greatest Common Factor

We found the factors 222,5121 . The biggest common factor number is the GCF number.
So the greatest common factor 222,5121 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/222, 2587/5121

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 90/222, 2587/5121?

Answer: LCM of Numerators as per given numbers 90/222, 2587/5121 is

LCM of Numerators i.e. for 90,2587 is 232830

GCF of denominators i.e. for 222,5121 is 3.

Thus, LCM of Fractions is 77610.Finally, LCM of Fractions for 90/222, 2587/5121 is 77610.