Least Common Multiple of 93/68, 42/79, 21/22, 84/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/68, 42/79, 21/22, 84/698 quickly i.e. 2604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/68, 42/79, 21/22, 84/698 is 2604.

LCM(93/68, 42/79, 21/22, 84/698) = 2604

LCM of 93/68, 42/79, 21/22, 84/698

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 93/68,42/79,21/22,84/698

Given numbers are 93/68,42/79,21/22,84/698

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 93,42,21,84

Least Common Multiple of Numerators i.e. LCM of 93,42,21,84 is 2604.

GCF of Denominators means GCF of 68,79,22,698 as per the given fractions.

GCF of 68,79,22,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,42,21,84

LCM of Fractions 93/68,42/79,21/22,84/698 is 2604

2 93, 42, 21, 84
3 93, 21, 21, 42
7 31, 7, 7, 14
31, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 x 1 x 1 x 2 = 2604

Least Common Multiple of 93,42,21,84 with GCF Formula

Least Common Multiple of 93,42,21,84 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 93,42,21,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,42,21,84) = 3

common factors(in case of two or more numbers have common factors) = 882

GCF(93,42,21,84) x common factors =3 x 882 = 2646

LCM(93,42,21,84) = ( 93 × 42 × 21 × 84 ) / 2646

LCM(93,42,21,84) = 6890184 / 2646

LCM(93,42,21,84) = 2604


Lets's calculate GCF of 68,79,22,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2604/1

Therefore the LCM of Fractions 93/68,42/79,21/22,84/698 is 2604

Greatest Common Factor of 68,79,22,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,79,22,698 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 68,79,22,698 . The biggest common factor number is the GCF number.
So the greatest common factor 68,79,22,698 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 93/68, 42/79, 21/22, 84/698

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 93/68, 42/79, 21/22, 84/698?

Answer: LCM of Numerators as per given numbers 93/68, 42/79, 21/22, 84/698 is

LCM of Numerators i.e. for 93,42,21,84 is 2604

GCF of denominators i.e. for 68,79,22,698 is 1.

Thus, LCM of Fractions is 2604.Finally, LCM of Fractions for 93/68, 42/79, 21/22, 84/698 is 2604.