Least Common Multiple of 1/72, 87/152, 86/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/72, 87/152, 86/340 quickly i.e. 7482/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/72, 87/152, 86/340 is 7482/4.

LCM(1/72, 87/152, 86/340) = 7482/4

LCM of 1/72, 87/152, 86/340

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 1/72,87/152,86/340

Given numbers are 1/72,87/152,86/340

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 1,87,86

Least Common Multiple of Numerators i.e. LCM of 1,87,86 is 7482.

GCF of Denominators means GCF of 72,152,340 as per the given fractions.

GCF of 72,152,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,87,86

LCM of Fractions 1/72,87/152,86/340 is 7482/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 7482

Least Common Multiple of 1,87,86 with GCF Formula

Least Common Multiple of 1,87,86 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 1,87,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,87,86) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,87,86) x common factors =1 x 1 = 1

LCM(1,87,86) = ( 1 × 87 × 86 ) / 1

LCM(1,87,86) = 7482 / 1

LCM(1,87,86) = 7482


Lets's calculate GCF of 72,152,340

2 72, 152, 340
2 36, 76, 170
18, 38, 85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7482/4

Therefore the LCM of Fractions 1/72,87/152,86/340 is 7482/4

Greatest Common Factor of 72,152,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,152,340 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 72,152,340 . The biggest common factor number is the GCF number.
So the greatest common factor 72,152,340 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 1/72, 87/152, 86/340

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 1/72, 87/152, 86/340?

Answer: LCM of Numerators as per given numbers 1/72, 87/152, 86/340 is

LCM of Numerators i.e. for 1,87,86 is 7482

GCF of denominators i.e. for 72,152,340 is 4.

Thus, LCM of Fractions is 7482/4.Finally, LCM of Fractions for 1/72, 87/152, 86/340 is 7482/4.