Least Common Multiple of 618/130, 5683/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 618/130, 5683/994 quickly i.e. 1756047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/130, 5683/994 is 1756047.

LCM(618/130, 5683/994) = 1756047

LCM of 618/130, 5683/994

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 618/130,5683/994

Given numbers are 618/130,5683/994

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 618,5683

Least Common Multiple of Numerators i.e. LCM of 618,5683 is 3512094.

GCF of Denominators means GCF of 130,994 as per the given fractions.

GCF of 130,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,5683

LCM of Fractions 618/130,5683/994 is 1756047

Given numbers has no common factors except 1. So, there LCM is their product i.e 3512094

Least Common Multiple of 618,5683 with GCF Formula

Least Common Multiple of 618,5683 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 618,5683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,5683) = 1

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

GCF(618,5683) x common factors =1 x 1 = 1

LCM(618,5683) = ( 618 × 5683 ) / 1

LCM(618,5683) = 3512094 / 1

LCM(618,5683) = 3512094


Lets's calculate GCF of 130,994

2 130, 994
65, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3512094/2

Therefore the LCM of Fractions 618/130,5683/994 is 1756047

Greatest Common Factor of 130,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,994 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 130,994 . The biggest common factor number is the GCF number.
So the greatest common factor 130,994 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 618/130, 5683/994

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 618/130, 5683/994?

Answer: LCM of Numerators as per given numbers 618/130, 5683/994 is

LCM of Numerators i.e. for 618,5683 is 3512094

GCF of denominators i.e. for 130,994 is 2.

Thus, LCM of Fractions is 1756047.Finally, LCM of Fractions for 618/130, 5683/994 is 1756047.