Least Common Multiple of 4471/76, 4673/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4471/76, 4673/240 quickly i.e. 20892983/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4471/76, 4673/240 is 20892983/4.

LCM(4471/76, 4673/240) = 20892983/4

LCM of 4471/76, 4673/240

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 4471/76,4673/240

Given numbers are 4471/76,4673/240

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 4471,4673

Least Common Multiple of Numerators i.e. LCM of 4471,4673 is 20892983.

GCF of Denominators means GCF of 76,240 as per the given fractions.

GCF of 76,240 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4471,4673

LCM of Fractions 4471/76,4673/240 is 20892983/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 20892983

Least Common Multiple of 4471,4673 with GCF Formula

Least Common Multiple of 4471,4673 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 4471,4673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4471,4673) = 1

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

GCF(4471,4673) x common factors =1 x 1 = 1

LCM(4471,4673) = ( 4471 × 4673 ) / 1

LCM(4471,4673) = 20892983 / 1

LCM(4471,4673) = 20892983


Lets's calculate GCF of 76,240

2 76, 240
2 38, 120
19, 60

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20892983/4

Therefore the LCM of Fractions 4471/76,4673/240 is 20892983/4

Greatest Common Factor of 76,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,240 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 76,240 . The biggest common factor number is the GCF number.
So the greatest common factor 76,240 is 4.


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 4471/76, 4673/240

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 4471/76, 4673/240?

Answer: LCM of Numerators as per given numbers 4471/76, 4673/240 is

LCM of Numerators i.e. for 4471,4673 is 20892983

GCF of denominators i.e. for 76,240 is 4.

Thus, LCM of Fractions is 20892983/4.Finally, LCM of Fractions for 4471/76, 4673/240 is 20892983/4.