Least Common Multiple of 4672/417, 4144/6654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4672/417, 4144/6654 quickly i.e. 1210048/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4672/417, 4144/6654 is 1210048/3.

LCM(4672/417, 4144/6654) = 1210048/3

LCM of 4672/417, 4144/6654

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 4672/417,4144/6654

Given numbers are 4672/417,4144/6654

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 4672,4144

Least Common Multiple of Numerators i.e. LCM of 4672,4144 is 1210048.

GCF of Denominators means GCF of 417,6654 as per the given fractions.

GCF of 417,6654 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4672,4144

LCM of Fractions 4672/417,4144/6654 is 1210048/3

2 4672, 4144
2 2336, 2072
2 1168, 1036
2 584, 518
292, 259

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 292 x 259 = 1210048

Least Common Multiple of 4672,4144 with GCF Formula

Least Common Multiple of 4672,4144 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 4672,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4672,4144) = 16

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

GCF(4672,4144) x common factors =16 x 1 = 16

LCM(4672,4144) = ( 4672 × 4144 ) / 16

LCM(4672,4144) = 19360768 / 16

LCM(4672,4144) = 1210048


Lets's calculate GCF of 417,6654

3 417, 6654
139, 2218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210048/3

Therefore the LCM of Fractions 4672/417,4144/6654 is 1210048/3

Greatest Common Factor of 417,6654 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,6654 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 6654

List of positive integer factors of 6654 that divides 6654 without a remainder.

1,2,3,6,1109,2218,3327,6654

Greatest Common Factor

We found the factors 417,6654 . The biggest common factor number is the GCF number.
So the greatest common factor 417,6654 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 4672/417, 4144/6654

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 4672/417, 4144/6654?

Answer: LCM of Numerators as per given numbers 4672/417, 4144/6654 is

LCM of Numerators i.e. for 4672,4144 is 1210048

GCF of denominators i.e. for 417,6654 is 3.

Thus, LCM of Fractions is 1210048/3.Finally, LCM of Fractions for 4672/417, 4144/6654 is 1210048/3.