Least Common Multiple of 7147/470, 4060/4742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7147/470, 4060/4742 quickly i.e. 2072630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7147/470, 4060/4742 is 2072630.

LCM(7147/470, 4060/4742) = 2072630

LCM of 7147/470, 4060/4742

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 7147/470,4060/4742

Given numbers are 7147/470,4060/4742

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 7147,4060

Least Common Multiple of Numerators i.e. LCM of 7147,4060 is 4145260.

GCF of Denominators means GCF of 470,4742 as per the given fractions.

GCF of 470,4742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7147,4060

LCM of Fractions 7147/470,4060/4742 is 2072630

7 7147, 4060
1021, 580

∴ So the LCM of the given numbers is 7 x 1021 x 580 = 4145260

Least Common Multiple of 7147,4060 with GCF Formula

Least Common Multiple of 7147,4060 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 7147,4060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7147,4060) = 7

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

GCF(7147,4060) x common factors =7 x 1 = 7

LCM(7147,4060) = ( 7147 × 4060 ) / 7

LCM(7147,4060) = 29016820 / 7

LCM(7147,4060) = 4145260


Lets's calculate GCF of 470,4742

2 470, 4742
235, 2371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4145260/2

Therefore the LCM of Fractions 7147/470,4060/4742 is 2072630

Greatest Common Factor of 470,4742 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,4742 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors 470,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 470,4742 is 2.


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 7147/470, 4060/4742

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 7147/470, 4060/4742?

Answer: LCM of Numerators as per given numbers 7147/470, 4060/4742 is

LCM of Numerators i.e. for 7147,4060 is 4145260

GCF of denominators i.e. for 470,4742 is 2.

Thus, LCM of Fractions is 2072630.Finally, LCM of Fractions for 7147/470, 4060/4742 is 2072630.