Least Common Multiple of 34/60, 87/12, 32/42, 96/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/60, 87/12, 32/42, 96/367 quickly i.e. 47328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/60, 87/12, 32/42, 96/367 is 47328.

LCM(34/60, 87/12, 32/42, 96/367) = 47328

LCM of 34/60, 87/12, 32/42, 96/367

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 34/60,87/12,32/42,96/367

Given numbers are 34/60,87/12,32/42,96/367

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 34,87,32,96

Least Common Multiple of Numerators i.e. LCM of 34,87,32,96 is 47328.

GCF of Denominators means GCF of 60,12,42,367 as per the given fractions.

GCF of 60,12,42,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,87,32,96

LCM of Fractions 34/60,87/12,32/42,96/367 is 47328

2 34, 87, 32, 96
2 17, 87, 16, 48
2 17, 87, 8, 24
2 17, 87, 4, 12
2 17, 87, 2, 6
3 17, 87, 1, 3
17, 29, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 17 x 29 x 1 x 1 = 47328

Least Common Multiple of 34,87,32,96 with GCF Formula

Least Common Multiple of 34,87,32,96 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 34,87,32,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,87,32,96) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(34,87,32,96) x common factors =1 x 192 = 192

LCM(34,87,32,96) = ( 34 × 87 × 32 × 96 ) / 192

LCM(34,87,32,96) = 9086976 / 192

LCM(34,87,32,96) = 47328


Lets's calculate GCF of 60,12,42,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47328/1

Therefore the LCM of Fractions 34/60,87/12,32/42,96/367 is 47328

Greatest Common Factor of 60,12,42,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,12,42,367 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 60,12,42,367 . The biggest common factor number is the GCF number.
So the greatest common factor 60,12,42,367 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/60, 87/12, 32/42, 96/367

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 34/60, 87/12, 32/42, 96/367?

Answer: LCM of Numerators as per given numbers 34/60, 87/12, 32/42, 96/367 is

LCM of Numerators i.e. for 34,87,32,96 is 47328

GCF of denominators i.e. for 60,12,42,367 is 1.

Thus, LCM of Fractions is 47328.Finally, LCM of Fractions for 34/60, 87/12, 32/42, 96/367 is 47328.