Least Common Multiple of 43/96, 67/64, 44/76, 96/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/96, 67/64, 44/76, 96/312 quickly i.e. 760584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/96, 67/64, 44/76, 96/312 is 760584.

LCM(43/96, 67/64, 44/76, 96/312) = 760584

LCM of 43/96, 67/64, 44/76, 96/312

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 43/96,67/64,44/76,96/312

Given numbers are 43/96,67/64,44/76,96/312

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 43,67,44,96

Least Common Multiple of Numerators i.e. LCM of 43,67,44,96 is 3042336.

GCF of Denominators means GCF of 96,64,76,312 as per the given fractions.

GCF of 96,64,76,312 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,67,44,96

LCM of Fractions 43/96,67/64,44/76,96/312 is 760584

2 43, 67, 44, 96
2 43, 67, 22, 48
43, 67, 11, 24

∴ So the LCM of the given numbers is 2 x 2 x 43 x 67 x 11 x 24 = 3042336

Least Common Multiple of 43,67,44,96 with GCF Formula

Least Common Multiple of 43,67,44,96 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 43,67,44,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,67,44,96) = 1

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

GCF(43,67,44,96) x common factors =1 x 4 = 4

LCM(43,67,44,96) = ( 43 × 67 × 44 × 96 ) / 4

LCM(43,67,44,96) = 12169344 / 4

LCM(43,67,44,96) = 3042336


Lets's calculate GCF of 96,64,76,312

2 96, 64, 76, 312
2 48, 32, 38, 156
24, 16, 19, 78

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3042336/4

Therefore the LCM of Fractions 43/96,67/64,44/76,96/312 is 760584

Greatest Common Factor of 96,64,76,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,64,76,312 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 96,64,76,312 . The biggest common factor number is the GCF number.
So the greatest common factor 96,64,76,312 is 4.


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 43/96, 67/64, 44/76, 96/312

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 43/96, 67/64, 44/76, 96/312?

Answer: LCM of Numerators as per given numbers 43/96, 67/64, 44/76, 96/312 is

LCM of Numerators i.e. for 43,67,44,96 is 3042336

GCF of denominators i.e. for 96,64,76,312 is 4.

Thus, LCM of Fractions is 760584.Finally, LCM of Fractions for 43/96, 67/64, 44/76, 96/312 is 760584.