Least Common Multiple of 76/743, 264/114, 164/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/743, 264/114, 164/360 quickly i.e. 205656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/743, 264/114, 164/360 is 205656.

LCM(76/743, 264/114, 164/360) = 205656

LCM of 76/743, 264/114, 164/360

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 76/743,264/114,164/360

Given numbers are 76/743,264/114,164/360

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 76,264,164

Least Common Multiple of Numerators i.e. LCM of 76,264,164 is 205656.

GCF of Denominators means GCF of 743,114,360 as per the given fractions.

GCF of 743,114,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,264,164

LCM of Fractions 76/743,264/114,164/360 is 205656

2 76, 264, 164
2 38, 132, 82
19, 66, 41

∴ So the LCM of the given numbers is 2 x 2 x 19 x 66 x 41 = 205656

Least Common Multiple of 76,264,164 with GCF Formula

Least Common Multiple of 76,264,164 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 76,264,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,264,164) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,264,164) x common factors =4 x 4 = 16

LCM(76,264,164) = ( 76 × 264 × 164 ) / 16

LCM(76,264,164) = 3290496 / 16

LCM(76,264,164) = 205656


Lets's calculate GCF of 743,114,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205656/1

Therefore the LCM of Fractions 76/743,264/114,164/360 is 205656

Greatest Common Factor of 743,114,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,114,360 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 743,114,360 . The biggest common factor number is the GCF number.
So the greatest common factor 743,114,360 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 76/743, 264/114, 164/360

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 76/743, 264/114, 164/360?

Answer: LCM of Numerators as per given numbers 76/743, 264/114, 164/360 is

LCM of Numerators i.e. for 76,264,164 is 205656

GCF of denominators i.e. for 743,114,360 is 1.

Thus, LCM of Fractions is 205656.Finally, LCM of Fractions for 76/743, 264/114, 164/360 is 205656.