Least Common Multiple of 88/12, 22/21, 30/58, 24/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/12, 22/21, 30/58, 24/395 quickly i.e. 1320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/12, 22/21, 30/58, 24/395 is 1320.

LCM(88/12, 22/21, 30/58, 24/395) = 1320

LCM of 88/12, 22/21, 30/58, 24/395

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 88/12,22/21,30/58,24/395

Given numbers are 88/12,22/21,30/58,24/395

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 88,22,30,24

Least Common Multiple of Numerators i.e. LCM of 88,22,30,24 is 1320.

GCF of Denominators means GCF of 12,21,58,395 as per the given fractions.

GCF of 12,21,58,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,22,30,24

LCM of Fractions 88/12,22/21,30/58,24/395 is 1320

2 88, 22, 30, 24
2 44, 11, 15, 12
2 22, 11, 15, 6
3 11, 11, 15, 3
11 11, 11, 5, 1
1, 1, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 1 x 5 x 1 = 1320

Least Common Multiple of 88,22,30,24 with GCF Formula

Least Common Multiple of 88,22,30,24 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 88,22,30,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,22,30,24) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(88,22,30,24) x common factors =2 x 528 = 1056

LCM(88,22,30,24) = ( 88 × 22 × 30 × 24 ) / 1056

LCM(88,22,30,24) = 1393920 / 1056

LCM(88,22,30,24) = 1320


Lets's calculate GCF of 12,21,58,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1320/1

Therefore the LCM of Fractions 88/12,22/21,30/58,24/395 is 1320

Greatest Common Factor of 12,21,58,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,21,58,395 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 21

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

1,3,7,21

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 12,21,58,395 . The biggest common factor number is the GCF number.
So the greatest common factor 12,21,58,395 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 88/12, 22/21, 30/58, 24/395

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 88/12, 22/21, 30/58, 24/395?

Answer: LCM of Numerators as per given numbers 88/12, 22/21, 30/58, 24/395 is

LCM of Numerators i.e. for 88,22,30,24 is 1320

GCF of denominators i.e. for 12,21,58,395 is 1.

Thus, LCM of Fractions is 1320.Finally, LCM of Fractions for 88/12, 22/21, 30/58, 24/395 is 1320.