Least Common Multiple of 4711/749, 9460/8310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4711/749, 9460/8310 quickly i.e. 44566060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4711/749, 9460/8310 is 44566060.

LCM(4711/749, 9460/8310) = 44566060

LCM of 4711/749, 9460/8310

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 4711/749,9460/8310

Given numbers are 4711/749,9460/8310

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 4711,9460

Least Common Multiple of Numerators i.e. LCM of 4711,9460 is 44566060.

GCF of Denominators means GCF of 749,8310 as per the given fractions.

GCF of 749,8310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4711,9460

LCM of Fractions 4711/749,9460/8310 is 44566060

Given numbers has no common factors except 1. So, there LCM is their product i.e 44566060

Least Common Multiple of 4711,9460 with GCF Formula

Least Common Multiple of 4711,9460 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 4711,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4711,9460) = 1

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

GCF(4711,9460) x common factors =1 x 1 = 1

LCM(4711,9460) = ( 4711 × 9460 ) / 1

LCM(4711,9460) = 44566060 / 1

LCM(4711,9460) = 44566060


Lets's calculate GCF of 749,8310

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44566060/1

Therefore the LCM of Fractions 4711/749,9460/8310 is 44566060

Greatest Common Factor of 749,8310 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,8310 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 8310

List of positive integer factors of 8310 that divides 8310 without a remainder.

1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310

Greatest Common Factor

We found the factors 749,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 749,8310 is 1.


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 4711/749, 9460/8310

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 4711/749, 9460/8310?

Answer: LCM of Numerators as per given numbers 4711/749, 9460/8310 is

LCM of Numerators i.e. for 4711,9460 is 44566060

GCF of denominators i.e. for 749,8310 is 1.

Thus, LCM of Fractions is 44566060.Finally, LCM of Fractions for 4711/749, 9460/8310 is 44566060.