Least Common Multiple of 43/72, 53/77, 29/67, 80/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/72, 53/77, 29/67, 80/746 quickly i.e. 5287280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/72, 53/77, 29/67, 80/746 is 5287280.

LCM(43/72, 53/77, 29/67, 80/746) = 5287280

LCM of 43/72, 53/77, 29/67, 80/746

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 43/72,53/77,29/67,80/746

Given numbers are 43/72,53/77,29/67,80/746

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 43,53,29,80

Least Common Multiple of Numerators i.e. LCM of 43,53,29,80 is 5287280.

GCF of Denominators means GCF of 72,77,67,746 as per the given fractions.

GCF of 72,77,67,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,53,29,80

LCM of Fractions 43/72,53/77,29/67,80/746 is 5287280

Given numbers has no common factors except 1. So, there LCM is their product i.e 5287280

Least Common Multiple of 43,53,29,80 with GCF Formula

Least Common Multiple of 43,53,29,80 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 43,53,29,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,53,29,80) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(43,53,29,80) x common factors =1 x 1 = 1

LCM(43,53,29,80) = ( 43 × 53 × 29 × 80 ) / 1

LCM(43,53,29,80) = 5287280 / 1

LCM(43,53,29,80) = 5287280


Lets's calculate GCF of 72,77,67,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5287280/1

Therefore the LCM of Fractions 43/72,53/77,29/67,80/746 is 5287280

Greatest Common Factor of 72,77,67,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,77,67,746 By Matching Biggest Common Factor Method

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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 72,77,67,746 . The biggest common factor number is the GCF number.
So the greatest common factor 72,77,67,746 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 43/72, 53/77, 29/67, 80/746

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 43/72, 53/77, 29/67, 80/746?

Answer: LCM of Numerators as per given numbers 43/72, 53/77, 29/67, 80/746 is

LCM of Numerators i.e. for 43,53,29,80 is 5287280

GCF of denominators i.e. for 72,77,67,746 is 1.

Thus, LCM of Fractions is 5287280.Finally, LCM of Fractions for 43/72, 53/77, 29/67, 80/746 is 5287280.