Least Common Multiple of 12/46, 50/91, 43/92, 50/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/46, 50/91, 43/92, 50/598 quickly i.e. 12900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/46, 50/91, 43/92, 50/598 is 12900.

LCM(12/46, 50/91, 43/92, 50/598) = 12900

LCM of 12/46, 50/91, 43/92, 50/598

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 12/46,50/91,43/92,50/598

Given numbers are 12/46,50/91,43/92,50/598

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 12,50,43,50

Least Common Multiple of Numerators i.e. LCM of 12,50,43,50 is 12900.

GCF of Denominators means GCF of 46,91,92,598 as per the given fractions.

GCF of 46,91,92,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,50,43,50

LCM of Fractions 12/46,50/91,43/92,50/598 is 12900

2 12, 50, 43, 50
5 6, 25, 43, 25
5 6, 5, 43, 5
6, 1, 43, 1

∴ So the LCM of the given numbers is 2 x 5 x 5 x 6 x 1 x 43 x 1 = 12900

Least Common Multiple of 12,50,43,50 with GCF Formula

Least Common Multiple of 12,50,43,50 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 12,50,43,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,50,43,50) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(12,50,43,50) x common factors =1 x 100 = 100

LCM(12,50,43,50) = ( 12 × 50 × 43 × 50 ) / 100

LCM(12,50,43,50) = 1290000 / 100

LCM(12,50,43,50) = 12900


Lets's calculate GCF of 46,91,92,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12900/1

Therefore the LCM of Fractions 12/46,50/91,43/92,50/598 is 12900

Greatest Common Factor of 46,91,92,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,91,92,598 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 46,91,92,598 . The biggest common factor number is the GCF number.
So the greatest common factor 46,91,92,598 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 12/46, 50/91, 43/92, 50/598

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 12/46, 50/91, 43/92, 50/598?

Answer: LCM of Numerators as per given numbers 12/46, 50/91, 43/92, 50/598 is

LCM of Numerators i.e. for 12,50,43,50 is 12900

GCF of denominators i.e. for 46,91,92,598 is 1.

Thus, LCM of Fractions is 12900.Finally, LCM of Fractions for 12/46, 50/91, 43/92, 50/598 is 12900.