Least Common Multiple of 12/408, 61/684, 557/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/408, 61/684, 557/398 quickly i.e. 203862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/408, 61/684, 557/398 is 203862.

LCM(12/408, 61/684, 557/398) = 203862

LCM of 12/408, 61/684, 557/398

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 12/408,61/684,557/398

Given numbers are 12/408,61/684,557/398

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 12,61,557

Least Common Multiple of Numerators i.e. LCM of 12,61,557 is 407724.

GCF of Denominators means GCF of 408,684,398 as per the given fractions.

GCF of 408,684,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,61,557

LCM of Fractions 12/408,61/684,557/398 is 203862

Given numbers has no common factors except 1. So, there LCM is their product i.e 407724

Least Common Multiple of 12,61,557 with GCF Formula

Least Common Multiple of 12,61,557 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 12,61,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,61,557) = 1

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

GCF(12,61,557) x common factors =1 x 1 = 1

LCM(12,61,557) = ( 12 × 61 × 557 ) / 1

LCM(12,61,557) = 407724 / 1

LCM(12,61,557) = 407724


Lets's calculate GCF of 408,684,398

2 408, 684, 398
204, 342, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407724/2

Therefore the LCM of Fractions 12/408,61/684,557/398 is 203862

Greatest Common Factor of 408,684,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,684,398 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

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

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 408,684,398 . The biggest common factor number is the GCF number.
So the greatest common factor 408,684,398 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 12/408, 61/684, 557/398

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 12/408, 61/684, 557/398?

Answer: LCM of Numerators as per given numbers 12/408, 61/684, 557/398 is

LCM of Numerators i.e. for 12,61,557 is 407724

GCF of denominators i.e. for 408,684,398 is 2.

Thus, LCM of Fractions is 203862.Finally, LCM of Fractions for 12/408, 61/684, 557/398 is 203862.