Least Common Multiple of 23/49, 30/56, 21/64, 88/89

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/49, 30/56, 21/64, 88/89 quickly i.e. 212520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/49, 30/56, 21/64, 88/89 is 212520.

LCM(23/49, 30/56, 21/64, 88/89) = 212520

LCM of 23/49, 30/56, 21/64, 88/89

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 23/49,30/56,21/64,88/89

Given numbers are 23/49,30/56,21/64,88/89

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 23,30,21,88

Least Common Multiple of Numerators i.e. LCM of 23,30,21,88 is 212520.

GCF of Denominators means GCF of 49,56,64,89 as per the given fractions.

GCF of 49,56,64,89 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,30,21,88

LCM of Fractions 23/49,30/56,21/64,88/89 is 212520

2 23, 30, 21, 88
3 23, 15, 21, 44
23, 5, 7, 44

∴ So the LCM of the given numbers is 2 x 3 x 23 x 5 x 7 x 44 = 212520

Least Common Multiple of 23,30,21,88 with GCF Formula

Least Common Multiple of 23,30,21,88 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 23,30,21,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,30,21,88) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,30,21,88) x common factors =1 x 6 = 6

LCM(23,30,21,88) = ( 23 × 30 × 21 × 88 ) / 6

LCM(23,30,21,88) = 1275120 / 6

LCM(23,30,21,88) = 212520


Lets's calculate GCF of 49,56,64,89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212520/1

Therefore the LCM of Fractions 23/49,30/56,21/64,88/89 is 212520

Greatest Common Factor of 49,56,64,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,56,64,89 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 49,56,64,89 . The biggest common factor number is the GCF number.
So the greatest common factor 49,56,64,89 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 23/49, 30/56, 21/64, 88/89

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 23/49, 30/56, 21/64, 88/89?

Answer: LCM of Numerators as per given numbers 23/49, 30/56, 21/64, 88/89 is

LCM of Numerators i.e. for 23,30,21,88 is 212520

GCF of denominators i.e. for 49,56,64,89 is 1.

Thus, LCM of Fractions is 212520.Finally, LCM of Fractions for 23/49, 30/56, 21/64, 88/89 is 212520.