Least Common Multiple of 421/585, 4300/9875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/585, 4300/9875 quickly i.e. 362060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/585, 4300/9875 is 362060.

LCM(421/585, 4300/9875) = 362060

LCM of 421/585, 4300/9875

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 421/585,4300/9875

Given numbers are 421/585,4300/9875

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 421,4300

Least Common Multiple of Numerators i.e. LCM of 421,4300 is 1810300.

GCF of Denominators means GCF of 585,9875 as per the given fractions.

GCF of 585,9875 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,4300

LCM of Fractions 421/585,4300/9875 is 362060

Given numbers has no common factors except 1. So, there LCM is their product i.e 1810300

Least Common Multiple of 421,4300 with GCF Formula

Least Common Multiple of 421,4300 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 421,4300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,4300) = 1

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

GCF(421,4300) x common factors =1 x 1 = 1

LCM(421,4300) = ( 421 × 4300 ) / 1

LCM(421,4300) = 1810300 / 1

LCM(421,4300) = 1810300


Lets's calculate GCF of 585,9875

5 585, 9875
117, 1975

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1810300/5

Therefore the LCM of Fractions 421/585,4300/9875 is 362060

Greatest Common Factor of 585,9875 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,9875 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 9875

List of positive integer factors of 9875 that divides 9875 without a remainder.

1,5,25,79,125,395,1975,9875

Greatest Common Factor

We found the factors 585,9875 . The biggest common factor number is the GCF number.
So the greatest common factor 585,9875 is 5.


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 421/585, 4300/9875

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 421/585, 4300/9875?

Answer: LCM of Numerators as per given numbers 421/585, 4300/9875 is

LCM of Numerators i.e. for 421,4300 is 1810300

GCF of denominators i.e. for 585,9875 is 5.

Thus, LCM of Fractions is 362060.Finally, LCM of Fractions for 421/585, 4300/9875 is 362060.