Least Common Multiple of 21/84, 86/31, 346/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/84, 86/31, 346/624 quickly i.e. 312438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/84, 86/31, 346/624 is 312438.

LCM(21/84, 86/31, 346/624) = 312438

LCM of 21/84, 86/31, 346/624

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 21/84,86/31,346/624

Given numbers are 21/84,86/31,346/624

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 21,86,346

Least Common Multiple of Numerators i.e. LCM of 21,86,346 is 312438.

GCF of Denominators means GCF of 84,31,624 as per the given fractions.

GCF of 84,31,624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,86,346

LCM of Fractions 21/84,86/31,346/624 is 312438

2 21, 86, 346
21, 43, 173

∴ So the LCM of the given numbers is 2 x 21 x 43 x 173 = 312438

Least Common Multiple of 21,86,346 with GCF Formula

Least Common Multiple of 21,86,346 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 21,86,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,86,346) = 1

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

GCF(21,86,346) x common factors =1 x 2 = 2

LCM(21,86,346) = ( 21 × 86 × 346 ) / 2

LCM(21,86,346) = 624876 / 2

LCM(21,86,346) = 312438


Lets's calculate GCF of 84,31,624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312438/1

Therefore the LCM of Fractions 21/84,86/31,346/624 is 312438

Greatest Common Factor of 84,31,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,31,624 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 84,31,624 . The biggest common factor number is the GCF number.
So the greatest common factor 84,31,624 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 21/84, 86/31, 346/624

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 21/84, 86/31, 346/624?

Answer: LCM of Numerators as per given numbers 21/84, 86/31, 346/624 is

LCM of Numerators i.e. for 21,86,346 is 312438

GCF of denominators i.e. for 84,31,624 is 1.

Thus, LCM of Fractions is 312438.Finally, LCM of Fractions for 21/84, 86/31, 346/624 is 312438.