Least Common Multiple of 995/442, 8114/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 995/442, 8114/812 quickly i.e. 4036715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 995/442, 8114/812 is 4036715.

LCM(995/442, 8114/812) = 4036715

LCM of 995/442, 8114/812

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 995/442,8114/812

Given numbers are 995/442,8114/812

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 995,8114

Least Common Multiple of Numerators i.e. LCM of 995,8114 is 8073430.

GCF of Denominators means GCF of 442,812 as per the given fractions.

GCF of 442,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 995,8114

LCM of Fractions 995/442,8114/812 is 4036715

Given numbers has no common factors except 1. So, there LCM is their product i.e 8073430

Least Common Multiple of 995,8114 with GCF Formula

Least Common Multiple of 995,8114 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 995,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,8114) = 1

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

GCF(995,8114) x common factors =1 x 1 = 1

LCM(995,8114) = ( 995 × 8114 ) / 1

LCM(995,8114) = 8073430 / 1

LCM(995,8114) = 8073430


Lets's calculate GCF of 442,812

2 442, 812
221, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8073430/2

Therefore the LCM of Fractions 995/442,8114/812 is 4036715

Greatest Common Factor of 442,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,812 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 442,812 . The biggest common factor number is the GCF number.
So the greatest common factor 442,812 is 2.


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Frequently Asked Questions on Fractional LCM of 995/442, 8114/812

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 995/442, 8114/812?

Answer: LCM of Numerators as per given numbers 995/442, 8114/812 is

LCM of Numerators i.e. for 995,8114 is 8073430

GCF of denominators i.e. for 442,812 is 2.

Thus, LCM of Fractions is 4036715.Finally, LCM of Fractions for 995/442, 8114/812 is 4036715.