Least Common Multiple of 398/21, 116/47, 677/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/21, 116/47, 677/508 quickly i.e. 15627868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/21, 116/47, 677/508 is 15627868.

LCM(398/21, 116/47, 677/508) = 15627868

LCM of 398/21, 116/47, 677/508

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 398/21,116/47,677/508

Given numbers are 398/21,116/47,677/508

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 398,116,677

Least Common Multiple of Numerators i.e. LCM of 398,116,677 is 15627868.

GCF of Denominators means GCF of 21,47,508 as per the given fractions.

GCF of 21,47,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,116,677

LCM of Fractions 398/21,116/47,677/508 is 15627868

2 398, 116, 677
199, 58, 677

∴ So the LCM of the given numbers is 2 x 199 x 58 x 677 = 15627868

Least Common Multiple of 398,116,677 with GCF Formula

Least Common Multiple of 398,116,677 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 398,116,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,116,677) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(398,116,677) x common factors =1 x 2 = 2

LCM(398,116,677) = ( 398 × 116 × 677 ) / 2

LCM(398,116,677) = 31255736 / 2

LCM(398,116,677) = 15627868


Lets's calculate GCF of 21,47,508

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15627868/1

Therefore the LCM of Fractions 398/21,116/47,677/508 is 15627868

Greatest Common Factor of 21,47,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,47,508 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 21,47,508 . The biggest common factor number is the GCF number.
So the greatest common factor 21,47,508 is 1.


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 398/21, 116/47, 677/508

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 398/21, 116/47, 677/508?

Answer: LCM of Numerators as per given numbers 398/21, 116/47, 677/508 is

LCM of Numerators i.e. for 398,116,677 is 15627868

GCF of denominators i.e. for 21,47,508 is 1.

Thus, LCM of Fractions is 15627868.Finally, LCM of Fractions for 398/21, 116/47, 677/508 is 15627868.