Least Common Multiple of 827/78, 358/9063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 827/78, 358/9063 quickly i.e. 296066/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/78, 358/9063 is 296066/3.

LCM(827/78, 358/9063) = 296066/3

LCM of 827/78, 358/9063

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 827/78,358/9063

Given numbers are 827/78,358/9063

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 827,358

Least Common Multiple of Numerators i.e. LCM of 827,358 is 296066.

GCF of Denominators means GCF of 78,9063 as per the given fractions.

GCF of 78,9063 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,358

LCM of Fractions 827/78,358/9063 is 296066/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 296066

Least Common Multiple of 827,358 with GCF Formula

Least Common Multiple of 827,358 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 827,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,358) = 1

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

GCF(827,358) x common factors =1 x 1 = 1

LCM(827,358) = ( 827 × 358 ) / 1

LCM(827,358) = 296066 / 1

LCM(827,358) = 296066


Lets's calculate GCF of 78,9063

3 78, 9063
26, 3021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296066/3

Therefore the LCM of Fractions 827/78,358/9063 is 296066/3

Greatest Common Factor of 78,9063 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,9063 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 9063

List of positive integer factors of 9063 that divides 9063 without a remainder.

1,3,9,19,53,57,159,171,477,1007,3021,9063

Greatest Common Factor

We found the factors 78,9063 . The biggest common factor number is the GCF number.
So the greatest common factor 78,9063 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 827/78, 358/9063

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 827/78, 358/9063?

Answer: LCM of Numerators as per given numbers 827/78, 358/9063 is

LCM of Numerators i.e. for 827,358 is 296066

GCF of denominators i.e. for 78,9063 is 3.

Thus, LCM of Fractions is 296066/3.Finally, LCM of Fractions for 827/78, 358/9063 is 296066/3.