Least Common Multiple of 43/89, 22/24, 11/72, 25/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/89, 22/24, 11/72, 25/620 quickly i.e. 23650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/89, 22/24, 11/72, 25/620 is 23650.

LCM(43/89, 22/24, 11/72, 25/620) = 23650

LCM of 43/89, 22/24, 11/72, 25/620

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 43/89,22/24,11/72,25/620

Given numbers are 43/89,22/24,11/72,25/620

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 43,22,11,25

Least Common Multiple of Numerators i.e. LCM of 43,22,11,25 is 23650.

GCF of Denominators means GCF of 89,24,72,620 as per the given fractions.

GCF of 89,24,72,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,22,11,25

LCM of Fractions 43/89,22/24,11/72,25/620 is 23650

11 43, 22, 11, 25
43, 2, 1, 25

∴ So the LCM of the given numbers is 11 x 43 x 2 x 1 x 25 = 23650

Least Common Multiple of 43,22,11,25 with GCF Formula

Least Common Multiple of 43,22,11,25 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 43,22,11,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,22,11,25) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(43,22,11,25) x common factors =1 x 11 = 11

LCM(43,22,11,25) = ( 43 × 22 × 11 × 25 ) / 11

LCM(43,22,11,25) = 260150 / 11

LCM(43,22,11,25) = 23650


Lets's calculate GCF of 89,24,72,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23650/1

Therefore the LCM of Fractions 43/89,22/24,11/72,25/620 is 23650

Greatest Common Factor of 89,24,72,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,24,72,620 By Matching Biggest Common Factor Method

Factors of 89

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

1,89

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 89,24,72,620 . The biggest common factor number is the GCF number.
So the greatest common factor 89,24,72,620 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/89, 22/24, 11/72, 25/620

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 43/89, 22/24, 11/72, 25/620?

Answer: LCM of Numerators as per given numbers 43/89, 22/24, 11/72, 25/620 is

LCM of Numerators i.e. for 43,22,11,25 is 23650

GCF of denominators i.e. for 89,24,72,620 is 1.

Thus, LCM of Fractions is 23650.Finally, LCM of Fractions for 43/89, 22/24, 11/72, 25/620 is 23650.