Least Common Multiple of 4608/470, 7608/6614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4608/470, 7608/6614 quickly i.e. 730368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4608/470, 7608/6614 is 730368.

LCM(4608/470, 7608/6614) = 730368

LCM of 4608/470, 7608/6614

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 4608/470,7608/6614

Given numbers are 4608/470,7608/6614

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 4608,7608

Least Common Multiple of Numerators i.e. LCM of 4608,7608 is 1460736.

GCF of Denominators means GCF of 470,6614 as per the given fractions.

GCF of 470,6614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4608,7608

LCM of Fractions 4608/470,7608/6614 is 730368

2 4608, 7608
2 2304, 3804
2 1152, 1902
3 576, 951
192, 317

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 192 x 317 = 1460736

Least Common Multiple of 4608,7608 with GCF Formula

Least Common Multiple of 4608,7608 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 4608,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4608,7608) = 24

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

GCF(4608,7608) x common factors =24 x 1 = 24

LCM(4608,7608) = ( 4608 × 7608 ) / 24

LCM(4608,7608) = 35057664 / 24

LCM(4608,7608) = 1460736


Lets's calculate GCF of 470,6614

2 470, 6614
235, 3307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1460736/2

Therefore the LCM of Fractions 4608/470,7608/6614 is 730368

Greatest Common Factor of 470,6614 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,6614 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 6614

List of positive integer factors of 6614 that divides 6614 without a remainder.

1,2,3307,6614

Greatest Common Factor

We found the factors 470,6614 . The biggest common factor number is the GCF number.
So the greatest common factor 470,6614 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 4608/470, 7608/6614

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 4608/470, 7608/6614?

Answer: LCM of Numerators as per given numbers 4608/470, 7608/6614 is

LCM of Numerators i.e. for 4608,7608 is 1460736

GCF of denominators i.e. for 470,6614 is 2.

Thus, LCM of Fractions is 730368.Finally, LCM of Fractions for 4608/470, 7608/6614 is 730368.