Least Common Multiple of 18/618, 36/834, 946/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/618, 36/834, 946/684 quickly i.e. 2838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/618, 36/834, 946/684 is 2838.

LCM(18/618, 36/834, 946/684) = 2838

LCM of 18/618, 36/834, 946/684

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 18/618,36/834,946/684

Given numbers are 18/618,36/834,946/684

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 18,36,946

Least Common Multiple of Numerators i.e. LCM of 18,36,946 is 17028.

GCF of Denominators means GCF of 618,834,684 as per the given fractions.

GCF of 618,834,684 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,36,946

LCM of Fractions 18/618,36/834,946/684 is 2838

2 18, 36, 946
3 9, 18, 473
3 3, 6, 473
1, 2, 473

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 2 x 473 = 17028

Least Common Multiple of 18,36,946 with GCF Formula

Least Common Multiple of 18,36,946 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 18,36,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,36,946) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(18,36,946) x common factors =2 x 18 = 36

LCM(18,36,946) = ( 18 × 36 × 946 ) / 36

LCM(18,36,946) = 613008 / 36

LCM(18,36,946) = 17028


Lets's calculate GCF of 618,834,684

2 618, 834, 684
3 309, 417, 342
103, 139, 114

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17028/6

Therefore the LCM of Fractions 18/618,36/834,946/684 is 2838

Greatest Common Factor of 618,834,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,834,684 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 618,834,684 . The biggest common factor number is the GCF number.
So the greatest common factor 618,834,684 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/618, 36/834, 946/684

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 18/618, 36/834, 946/684?

Answer: LCM of Numerators as per given numbers 18/618, 36/834, 946/684 is

LCM of Numerators i.e. for 18,36,946 is 17028

GCF of denominators i.e. for 618,834,684 is 6.

Thus, LCM of Fractions is 2838.Finally, LCM of Fractions for 18/618, 36/834, 946/684 is 2838.