Least Common Multiple of 30/86, 64/134, 138/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/86, 64/134, 138/372 quickly i.e. 11040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/86, 64/134, 138/372 is 11040.

LCM(30/86, 64/134, 138/372) = 11040

LCM of 30/86, 64/134, 138/372

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 30/86,64/134,138/372

Given numbers are 30/86,64/134,138/372

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 30,64,138

Least Common Multiple of Numerators i.e. LCM of 30,64,138 is 22080.

GCF of Denominators means GCF of 86,134,372 as per the given fractions.

GCF of 86,134,372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,64,138

LCM of Fractions 30/86,64/134,138/372 is 11040

2 30, 64, 138
3 15, 32, 69
5, 32, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 32 x 23 = 22080

Least Common Multiple of 30,64,138 with GCF Formula

Least Common Multiple of 30,64,138 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 30,64,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,64,138) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(30,64,138) x common factors =2 x 6 = 12

LCM(30,64,138) = ( 30 × 64 × 138 ) / 12

LCM(30,64,138) = 264960 / 12

LCM(30,64,138) = 22080


Lets's calculate GCF of 86,134,372

2 86, 134, 372
43, 67, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22080/2

Therefore the LCM of Fractions 30/86,64/134,138/372 is 11040

Greatest Common Factor of 86,134,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,134,372 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 86,134,372 . The biggest common factor number is the GCF number.
So the greatest common factor 86,134,372 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 30/86, 64/134, 138/372

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 30/86, 64/134, 138/372?

Answer: LCM of Numerators as per given numbers 30/86, 64/134, 138/372 is

LCM of Numerators i.e. for 30,64,138 is 22080

GCF of denominators i.e. for 86,134,372 is 2.

Thus, LCM of Fractions is 11040.Finally, LCM of Fractions for 30/86, 64/134, 138/372 is 11040.