Least Common Multiple of 4303/442, 6710/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4303/442, 6710/975 quickly i.e. 2221010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4303/442, 6710/975 is 2221010.

LCM(4303/442, 6710/975) = 2221010

LCM of 4303/442, 6710/975

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 4303/442,6710/975

Given numbers are 4303/442,6710/975

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 4303,6710

Least Common Multiple of Numerators i.e. LCM of 4303,6710 is 28873130.

GCF of Denominators means GCF of 442,975 as per the given fractions.

GCF of 442,975 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4303,6710

LCM of Fractions 4303/442,6710/975 is 2221010

Given numbers has no common factors except 1. So, there LCM is their product i.e 28873130

Least Common Multiple of 4303,6710 with GCF Formula

Least Common Multiple of 4303,6710 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 4303,6710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4303,6710) = 1

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

GCF(4303,6710) x common factors =1 x 1 = 1

LCM(4303,6710) = ( 4303 × 6710 ) / 1

LCM(4303,6710) = 28873130 / 1

LCM(4303,6710) = 28873130


Lets's calculate GCF of 442,975

13 442, 975
34, 75

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28873130/13

Therefore the LCM of Fractions 4303/442,6710/975 is 2221010

Greatest Common Factor of 442,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,975 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 442,975 . The biggest common factor number is the GCF number.
So the greatest common factor 442,975 is 13.


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 4303/442, 6710/975

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 4303/442, 6710/975?

Answer: LCM of Numerators as per given numbers 4303/442, 6710/975 is

LCM of Numerators i.e. for 4303,6710 is 28873130

GCF of denominators i.e. for 442,975 is 13.

Thus, LCM of Fractions is 2221010.Finally, LCM of Fractions for 4303/442, 6710/975 is 2221010.