Least Common Multiple of 777/36, 494/2270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 777/36, 494/2270 quickly i.e. 191919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/36, 494/2270 is 191919.

LCM(777/36, 494/2270) = 191919

LCM of 777/36, 494/2270

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 777/36,494/2270

Given numbers are 777/36,494/2270

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 777,494

Least Common Multiple of Numerators i.e. LCM of 777,494 is 383838.

GCF of Denominators means GCF of 36,2270 as per the given fractions.

GCF of 36,2270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,494

LCM of Fractions 777/36,494/2270 is 191919

Given numbers has no common factors except 1. So, there LCM is their product i.e 383838

Least Common Multiple of 777,494 with GCF Formula

Least Common Multiple of 777,494 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 777,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,494) = 1

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

GCF(777,494) x common factors =1 x 1 = 1

LCM(777,494) = ( 777 × 494 ) / 1

LCM(777,494) = 383838 / 1

LCM(777,494) = 383838


Lets's calculate GCF of 36,2270

2 36, 2270
18, 1135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383838/2

Therefore the LCM of Fractions 777/36,494/2270 is 191919

Greatest Common Factor of 36,2270 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,2270 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 2270

List of positive integer factors of 2270 that divides 2270 without a remainder.

1,2,5,10,227,454,1135,2270

Greatest Common Factor

We found the factors 36,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 36,2270 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 777/36, 494/2270

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 777/36, 494/2270?

Answer: LCM of Numerators as per given numbers 777/36, 494/2270 is

LCM of Numerators i.e. for 777,494 is 383838

GCF of denominators i.e. for 36,2270 is 2.

Thus, LCM of Fractions is 191919.Finally, LCM of Fractions for 777/36, 494/2270 is 191919.