Least Common Multiple of 4906/669, 2194/4746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4906/669, 2194/4746 quickly i.e. 5381882/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4906/669, 2194/4746 is 5381882/3.

LCM(4906/669, 2194/4746) = 5381882/3

LCM of 4906/669, 2194/4746

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 4906/669,2194/4746

Given numbers are 4906/669,2194/4746

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 4906,2194

Least Common Multiple of Numerators i.e. LCM of 4906,2194 is 5381882.

GCF of Denominators means GCF of 669,4746 as per the given fractions.

GCF of 669,4746 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4906,2194

LCM of Fractions 4906/669,2194/4746 is 5381882/3

2 4906, 2194
2453, 1097

∴ So the LCM of the given numbers is 2 x 2453 x 1097 = 5381882

Least Common Multiple of 4906,2194 with GCF Formula

Least Common Multiple of 4906,2194 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 4906,2194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4906,2194) = 2

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

GCF(4906,2194) x common factors =2 x 1 = 2

LCM(4906,2194) = ( 4906 × 2194 ) / 2

LCM(4906,2194) = 10763764 / 2

LCM(4906,2194) = 5381882


Lets's calculate GCF of 669,4746

3 669, 4746
223, 1582

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5381882/3

Therefore the LCM of Fractions 4906/669,2194/4746 is 5381882/3

Greatest Common Factor of 669,4746 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,4746 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1,2,3,6,7,14,21,42,113,226,339,678,791,1582,2373,4746

Greatest Common Factor

We found the factors 669,4746 . The biggest common factor number is the GCF number.
So the greatest common factor 669,4746 is 3.


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 4906/669, 2194/4746

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 4906/669, 2194/4746?

Answer: LCM of Numerators as per given numbers 4906/669, 2194/4746 is

LCM of Numerators i.e. for 4906,2194 is 5381882

GCF of denominators i.e. for 669,4746 is 3.

Thus, LCM of Fractions is 5381882/3.Finally, LCM of Fractions for 4906/669, 2194/4746 is 5381882/3.