Least Common Multiple of 618/46, 613/6674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 618/46, 613/6674 quickly i.e. 189417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/46, 613/6674 is 189417.

LCM(618/46, 613/6674) = 189417

LCM of 618/46, 613/6674

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 618/46,613/6674

Given numbers are 618/46,613/6674

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 618,613

Least Common Multiple of Numerators i.e. LCM of 618,613 is 378834.

GCF of Denominators means GCF of 46,6674 as per the given fractions.

GCF of 46,6674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,613

LCM of Fractions 618/46,613/6674 is 189417

Given numbers has no common factors except 1. So, there LCM is their product i.e 378834

Least Common Multiple of 618,613 with GCF Formula

Least Common Multiple of 618,613 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 618,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,613) = 1

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

GCF(618,613) x common factors =1 x 1 = 1

LCM(618,613) = ( 618 × 613 ) / 1

LCM(618,613) = 378834 / 1

LCM(618,613) = 378834


Lets's calculate GCF of 46,6674

2 46, 6674
23, 3337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378834/2

Therefore the LCM of Fractions 618/46,613/6674 is 189417

Greatest Common Factor of 46,6674 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,6674 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 6674

List of positive integer factors of 6674 that divides 6674 without a remainder.

1,2,47,71,94,142,3337,6674

Greatest Common Factor

We found the factors 46,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 46,6674 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 618/46, 613/6674

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 618/46, 613/6674?

Answer: LCM of Numerators as per given numbers 618/46, 613/6674 is

LCM of Numerators i.e. for 618,613 is 378834

GCF of denominators i.e. for 46,6674 is 2.

Thus, LCM of Fractions is 189417.Finally, LCM of Fractions for 618/46, 613/6674 is 189417.