Least Common Multiple of 8275/222, 7961/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8275/222, 7961/638 quickly i.e. 65877275/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8275/222, 7961/638 is 65877275/2.

LCM(8275/222, 7961/638) = 65877275/2

LCM of 8275/222, 7961/638

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 8275/222,7961/638

Given numbers are 8275/222,7961/638

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 8275,7961

Least Common Multiple of Numerators i.e. LCM of 8275,7961 is 65877275.

GCF of Denominators means GCF of 222,638 as per the given fractions.

GCF of 222,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8275,7961

LCM of Fractions 8275/222,7961/638 is 65877275/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 65877275

Least Common Multiple of 8275,7961 with GCF Formula

Least Common Multiple of 8275,7961 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 8275,7961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8275,7961) = 1

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

GCF(8275,7961) x common factors =1 x 1 = 1

LCM(8275,7961) = ( 8275 × 7961 ) / 1

LCM(8275,7961) = 65877275 / 1

LCM(8275,7961) = 65877275


Lets's calculate GCF of 222,638

2 222, 638
111, 319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65877275/2

Therefore the LCM of Fractions 8275/222,7961/638 is 65877275/2

Greatest Common Factor of 222,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,638 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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 222,638 . The biggest common factor number is the GCF number.
So the greatest common factor 222,638 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8275/222, 7961/638

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 8275/222, 7961/638?

Answer: LCM of Numerators as per given numbers 8275/222, 7961/638 is

LCM of Numerators i.e. for 8275,7961 is 65877275

GCF of denominators i.e. for 222,638 is 2.

Thus, LCM of Fractions is 65877275/2.Finally, LCM of Fractions for 8275/222, 7961/638 is 65877275/2.