Least Common Multiple of 43/11, 72/78, 30/24, 60/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/11, 72/78, 30/24, 60/266 quickly i.e. 15480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/11, 72/78, 30/24, 60/266 is 15480.

LCM(43/11, 72/78, 30/24, 60/266) = 15480

LCM of 43/11, 72/78, 30/24, 60/266

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 43/11,72/78,30/24,60/266

Given numbers are 43/11,72/78,30/24,60/266

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 43,72,30,60

Least Common Multiple of Numerators i.e. LCM of 43,72,30,60 is 15480.

GCF of Denominators means GCF of 11,78,24,266 as per the given fractions.

GCF of 11,78,24,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,72,30,60

LCM of Fractions 43/11,72/78,30/24,60/266 is 15480

2 43, 72, 30, 60
2 43, 36, 15, 30
3 43, 18, 15, 15
5 43, 6, 5, 5
43, 6, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 43 x 6 x 1 x 1 = 15480

Least Common Multiple of 43,72,30,60 with GCF Formula

Least Common Multiple of 43,72,30,60 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 43,72,30,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,72,30,60) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(43,72,30,60) x common factors =1 x 360 = 360

LCM(43,72,30,60) = ( 43 × 72 × 30 × 60 ) / 360

LCM(43,72,30,60) = 5572800 / 360

LCM(43,72,30,60) = 15480


Lets's calculate GCF of 11,78,24,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15480/1

Therefore the LCM of Fractions 43/11,72/78,30/24,60/266 is 15480

Greatest Common Factor of 11,78,24,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,78,24,266 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 11,78,24,266 . The biggest common factor number is the GCF number.
So the greatest common factor 11,78,24,266 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 43/11, 72/78, 30/24, 60/266

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 43/11, 72/78, 30/24, 60/266?

Answer: LCM of Numerators as per given numbers 43/11, 72/78, 30/24, 60/266 is

LCM of Numerators i.e. for 43,72,30,60 is 15480

GCF of denominators i.e. for 11,78,24,266 is 1.

Thus, LCM of Fractions is 15480.Finally, LCM of Fractions for 43/11, 72/78, 30/24, 60/266 is 15480.