Least Common Multiple of 72/32, 71/10, 92/32, 75/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/32, 71/10, 92/32, 75/986 quickly i.e. 1469700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/32, 71/10, 92/32, 75/986 is 1469700.

LCM(72/32, 71/10, 92/32, 75/986) = 1469700

LCM of 72/32, 71/10, 92/32, 75/986

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 72/32,71/10,92/32,75/986

Given numbers are 72/32,71/10,92/32,75/986

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 72,71,92,75

Least Common Multiple of Numerators i.e. LCM of 72,71,92,75 is 2939400.

GCF of Denominators means GCF of 32,10,32,986 as per the given fractions.

GCF of 32,10,32,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,71,92,75

LCM of Fractions 72/32,71/10,92/32,75/986 is 1469700

2 72, 71, 92, 75
2 36, 71, 46, 75
3 18, 71, 23, 75
6, 71, 23, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 6 x 71 x 23 x 25 = 2939400

Least Common Multiple of 72,71,92,75 with GCF Formula

Least Common Multiple of 72,71,92,75 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 72,71,92,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,71,92,75) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(72,71,92,75) x common factors =1 x 12 = 12

LCM(72,71,92,75) = ( 72 × 71 × 92 × 75 ) / 12

LCM(72,71,92,75) = 35272800 / 12

LCM(72,71,92,75) = 2939400


Lets's calculate GCF of 32,10,32,986

2 32, 10, 32, 986
16, 5, 16, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2939400/2

Therefore the LCM of Fractions 72/32,71/10,92/32,75/986 is 1469700

Greatest Common Factor of 32,10,32,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,10,32,986 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 32,10,32,986 . The biggest common factor number is the GCF number.
So the greatest common factor 32,10,32,986 is 2.


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 72/32, 71/10, 92/32, 75/986

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 72/32, 71/10, 92/32, 75/986?

Answer: LCM of Numerators as per given numbers 72/32, 71/10, 92/32, 75/986 is

LCM of Numerators i.e. for 72,71,92,75 is 2939400

GCF of denominators i.e. for 32,10,32,986 is 2.

Thus, LCM of Fractions is 1469700.Finally, LCM of Fractions for 72/32, 71/10, 92/32, 75/986 is 1469700.