Least Common Multiple of 435/973, 3024/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 435/973, 3024/643 quickly i.e. 438480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/973, 3024/643 is 438480.

LCM(435/973, 3024/643) = 438480

LCM of 435/973, 3024/643

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 435/973,3024/643

Given numbers are 435/973,3024/643

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 435,3024

Least Common Multiple of Numerators i.e. LCM of 435,3024 is 438480.

GCF of Denominators means GCF of 973,643 as per the given fractions.

GCF of 973,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,3024

LCM of Fractions 435/973,3024/643 is 438480

3 435, 3024
145, 1008

∴ So the LCM of the given numbers is 3 x 145 x 1008 = 438480

Least Common Multiple of 435,3024 with GCF Formula

Least Common Multiple of 435,3024 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 435,3024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,3024) = 3

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

GCF(435,3024) x common factors =3 x 1 = 3

LCM(435,3024) = ( 435 × 3024 ) / 3

LCM(435,3024) = 1315440 / 3

LCM(435,3024) = 438480


Lets's calculate GCF of 973,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438480/1

Therefore the LCM of Fractions 435/973,3024/643 is 438480

Greatest Common Factor of 973,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,643 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 973,643 . The biggest common factor number is the GCF number.
So the greatest common factor 973,643 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 435/973, 3024/643

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 435/973, 3024/643?

Answer: LCM of Numerators as per given numbers 435/973, 3024/643 is

LCM of Numerators i.e. for 435,3024 is 438480

GCF of denominators i.e. for 973,643 is 1.

Thus, LCM of Fractions is 438480.Finally, LCM of Fractions for 435/973, 3024/643 is 438480.