Least Common Multiple of 12/10, 28/74, 30/44, 86/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/10, 28/74, 30/44, 86/151 quickly i.e. 18060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/10, 28/74, 30/44, 86/151 is 18060.

LCM(12/10, 28/74, 30/44, 86/151) = 18060

LCM of 12/10, 28/74, 30/44, 86/151

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 12/10,28/74,30/44,86/151

Given numbers are 12/10,28/74,30/44,86/151

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 12,28,30,86

Least Common Multiple of Numerators i.e. LCM of 12,28,30,86 is 18060.

GCF of Denominators means GCF of 10,74,44,151 as per the given fractions.

GCF of 10,74,44,151 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,28,30,86

LCM of Fractions 12/10,28/74,30/44,86/151 is 18060

2 12, 28, 30, 86
2 6, 14, 15, 43
3 3, 7, 15, 43
1, 7, 5, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 7 x 5 x 43 = 18060

Least Common Multiple of 12,28,30,86 with GCF Formula

Least Common Multiple of 12,28,30,86 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 12,28,30,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,28,30,86) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(12,28,30,86) x common factors =2 x 24 = 48

LCM(12,28,30,86) = ( 12 × 28 × 30 × 86 ) / 48

LCM(12,28,30,86) = 866880 / 48

LCM(12,28,30,86) = 18060


Lets's calculate GCF of 10,74,44,151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18060/1

Therefore the LCM of Fractions 12/10,28/74,30/44,86/151 is 18060

Greatest Common Factor of 10,74,44,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,74,44,151 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 10,74,44,151 . The biggest common factor number is the GCF number.
So the greatest common factor 10,74,44,151 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 12/10, 28/74, 30/44, 86/151

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 12/10, 28/74, 30/44, 86/151?

Answer: LCM of Numerators as per given numbers 12/10, 28/74, 30/44, 86/151 is

LCM of Numerators i.e. for 12,28,30,86 is 18060

GCF of denominators i.e. for 10,74,44,151 is 1.

Thus, LCM of Fractions is 18060.Finally, LCM of Fractions for 12/10, 28/74, 30/44, 86/151 is 18060.