Least Common Multiple of 2822/90, 8751/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2822/90, 8751/764 quickly i.e. 12347661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2822/90, 8751/764 is 12347661.

LCM(2822/90, 8751/764) = 12347661

LCM of 2822/90, 8751/764

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 2822/90,8751/764

Given numbers are 2822/90,8751/764

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 2822,8751

Least Common Multiple of Numerators i.e. LCM of 2822,8751 is 24695322.

GCF of Denominators means GCF of 90,764 as per the given fractions.

GCF of 90,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2822,8751

LCM of Fractions 2822/90,8751/764 is 12347661

Given numbers has no common factors except 1. So, there LCM is their product i.e 24695322

Least Common Multiple of 2822,8751 with GCF Formula

Least Common Multiple of 2822,8751 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 2822,8751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2822,8751) = 1

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

GCF(2822,8751) x common factors =1 x 1 = 1

LCM(2822,8751) = ( 2822 × 8751 ) / 1

LCM(2822,8751) = 24695322 / 1

LCM(2822,8751) = 24695322


Lets's calculate GCF of 90,764

2 90, 764
45, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24695322/2

Therefore the LCM of Fractions 2822/90,8751/764 is 12347661

Greatest Common Factor of 90,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,764 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 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 90,764 . The biggest common factor number is the GCF number.
So the greatest common factor 90,764 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2822/90, 8751/764

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 2822/90, 8751/764?

Answer: LCM of Numerators as per given numbers 2822/90, 8751/764 is

LCM of Numerators i.e. for 2822,8751 is 24695322

GCF of denominators i.e. for 90,764 is 2.

Thus, LCM of Fractions is 12347661.Finally, LCM of Fractions for 2822/90, 8751/764 is 12347661.