Least Common Multiple of 67/84, 74/75, 32/56, 96/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/84, 74/75, 32/56, 96/14 quickly i.e. 237984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/84, 74/75, 32/56, 96/14 is 237984.

LCM(67/84, 74/75, 32/56, 96/14) = 237984

LCM of 67/84, 74/75, 32/56, 96/14

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 67/84,74/75,32/56,96/14

Given numbers are 67/84,74/75,32/56,96/14

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 67,74,32,96

Least Common Multiple of Numerators i.e. LCM of 67,74,32,96 is 237984.

GCF of Denominators means GCF of 84,75,56,14 as per the given fractions.

GCF of 84,75,56,14 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,74,32,96

LCM of Fractions 67/84,74/75,32/56,96/14 is 237984

2 67, 74, 32, 96
2 67, 37, 16, 48
2 67, 37, 8, 24
2 67, 37, 4, 12
2 67, 37, 2, 6
67, 37, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 67 x 37 x 1 x 3 = 237984

Least Common Multiple of 67,74,32,96 with GCF Formula

Least Common Multiple of 67,74,32,96 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 67,74,32,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,74,32,96) = 1

common factors(in case of two or more numbers have common factors) = 64

GCF(67,74,32,96) x common factors =1 x 64 = 64

LCM(67,74,32,96) = ( 67 × 74 × 32 × 96 ) / 64

LCM(67,74,32,96) = 15230976 / 64

LCM(67,74,32,96) = 237984


Lets's calculate GCF of 84,75,56,14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237984/1

Therefore the LCM of Fractions 67/84,74/75,32/56,96/14 is 237984

Greatest Common Factor of 84,75,56,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,75,56,14 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 84,75,56,14 . The biggest common factor number is the GCF number.
So the greatest common factor 84,75,56,14 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 67/84, 74/75, 32/56, 96/14

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 67/84, 74/75, 32/56, 96/14?

Answer: LCM of Numerators as per given numbers 67/84, 74/75, 32/56, 96/14 is

LCM of Numerators i.e. for 67,74,32,96 is 237984

GCF of denominators i.e. for 84,75,56,14 is 1.

Thus, LCM of Fractions is 237984.Finally, LCM of Fractions for 67/84, 74/75, 32/56, 96/14 is 237984.