Least Common Multiple of 12/16, 12/36, 18/47, 92/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/16, 12/36, 18/47, 92/951 quickly i.e. 828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/16, 12/36, 18/47, 92/951 is 828.

LCM(12/16, 12/36, 18/47, 92/951) = 828

LCM of 12/16, 12/36, 18/47, 92/951

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 12/16,12/36,18/47,92/951

Given numbers are 12/16,12/36,18/47,92/951

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 12,12,18,92

Least Common Multiple of Numerators i.e. LCM of 12,12,18,92 is 828.

GCF of Denominators means GCF of 16,36,47,951 as per the given fractions.

GCF of 16,36,47,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,12,18,92

LCM of Fractions 12/16,12/36,18/47,92/951 is 828

2 12, 12, 18, 92
2 6, 6, 9, 46
3 3, 3, 9, 23
1, 1, 3, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 3 x 23 = 828

Least Common Multiple of 12,12,18,92 with GCF Formula

Least Common Multiple of 12,12,18,92 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 12,12,18,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,12,18,92) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(12,12,18,92) x common factors =2 x 144 = 288

LCM(12,12,18,92) = ( 12 × 12 × 18 × 92 ) / 288

LCM(12,12,18,92) = 238464 / 288

LCM(12,12,18,92) = 828


Lets's calculate GCF of 16,36,47,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828/1

Therefore the LCM of Fractions 12/16,12/36,18/47,92/951 is 828

Greatest Common Factor of 16,36,47,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,36,47,951 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 16,36,47,951 . The biggest common factor number is the GCF number.
So the greatest common factor 16,36,47,951 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 12/16, 12/36, 18/47, 92/951

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 12/16, 12/36, 18/47, 92/951?

Answer: LCM of Numerators as per given numbers 12/16, 12/36, 18/47, 92/951 is

LCM of Numerators i.e. for 12,12,18,92 is 828

GCF of denominators i.e. for 16,36,47,951 is 1.

Thus, LCM of Fractions is 828.Finally, LCM of Fractions for 12/16, 12/36, 18/47, 92/951 is 828.