Least Common Multiple of 9740/305, 6271/2623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9740/305, 6271/2623 quickly i.e. 61079540/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9740/305, 6271/2623 is 61079540/61.

LCM(9740/305, 6271/2623) = 61079540/61

LCM of 9740/305, 6271/2623

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 9740/305,6271/2623

Given numbers are 9740/305,6271/2623

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 9740,6271

Least Common Multiple of Numerators i.e. LCM of 9740,6271 is 61079540.

GCF of Denominators means GCF of 305,2623 as per the given fractions.

GCF of 305,2623 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9740,6271

LCM of Fractions 9740/305,6271/2623 is 61079540/61

Given numbers has no common factors except 1. So, there LCM is their product i.e 61079540

Least Common Multiple of 9740,6271 with GCF Formula

Least Common Multiple of 9740,6271 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 9740,6271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9740,6271) = 1

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

GCF(9740,6271) x common factors =1 x 1 = 1

LCM(9740,6271) = ( 9740 × 6271 ) / 1

LCM(9740,6271) = 61079540 / 1

LCM(9740,6271) = 61079540


Lets's calculate GCF of 305,2623

61 305, 2623
5, 43

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61079540/61

Therefore the LCM of Fractions 9740/305,6271/2623 is 61079540/61

Greatest Common Factor of 305,2623 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,2623 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 2623

List of positive integer factors of 2623 that divides 2623 without a remainder.

1,43,61,2623

Greatest Common Factor

We found the factors 305,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 305,2623 is 61.


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 9740/305, 6271/2623

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 9740/305, 6271/2623?

Answer: LCM of Numerators as per given numbers 9740/305, 6271/2623 is

LCM of Numerators i.e. for 9740,6271 is 61079540

GCF of denominators i.e. for 305,2623 is 61.

Thus, LCM of Fractions is 61079540/61.Finally, LCM of Fractions for 9740/305, 6271/2623 is 61079540/61.