Least Common Multiple of 5996/146, 6953/1891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5996/146, 6953/1891 quickly i.e. 41690188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5996/146, 6953/1891 is 41690188.

LCM(5996/146, 6953/1891) = 41690188

LCM of 5996/146, 6953/1891

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 5996/146,6953/1891

Given numbers are 5996/146,6953/1891

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 5996,6953

Least Common Multiple of Numerators i.e. LCM of 5996,6953 is 41690188.

GCF of Denominators means GCF of 146,1891 as per the given fractions.

GCF of 146,1891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5996,6953

LCM of Fractions 5996/146,6953/1891 is 41690188

Given numbers has no common factors except 1. So, there LCM is their product i.e 41690188

Least Common Multiple of 5996,6953 with GCF Formula

Least Common Multiple of 5996,6953 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 5996,6953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5996,6953) = 1

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

GCF(5996,6953) x common factors =1 x 1 = 1

LCM(5996,6953) = ( 5996 × 6953 ) / 1

LCM(5996,6953) = 41690188 / 1

LCM(5996,6953) = 41690188


Lets's calculate GCF of 146,1891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41690188/1

Therefore the LCM of Fractions 5996/146,6953/1891 is 41690188

Greatest Common Factor of 146,1891 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,1891 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 1891

List of positive integer factors of 1891 that divides 1891 without a remainder.

1,31,61,1891

Greatest Common Factor

We found the factors 146,1891 . The biggest common factor number is the GCF number.
So the greatest common factor 146,1891 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 5996/146, 6953/1891

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 5996/146, 6953/1891?

Answer: LCM of Numerators as per given numbers 5996/146, 6953/1891 is

LCM of Numerators i.e. for 5996,6953 is 41690188

GCF of denominators i.e. for 146,1891 is 1.

Thus, LCM of Fractions is 41690188.Finally, LCM of Fractions for 5996/146, 6953/1891 is 41690188.