Least Common Multiple of 435/124, 5718/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 435/124, 5718/9852 quickly i.e. 829110/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 435/124, 5718/9852 is 829110/4.

LCM(435/124, 5718/9852) = 829110/4

LCM of 435/124, 5718/9852

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 435/124,5718/9852

Given numbers are 435/124,5718/9852

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 435,5718

Least Common Multiple of Numerators i.e. LCM of 435,5718 is 829110.

GCF of Denominators means GCF of 124,9852 as per the given fractions.

GCF of 124,9852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 435,5718

LCM of Fractions 435/124,5718/9852 is 829110/4

3 435, 5718
145, 1906

∴ So the LCM of the given numbers is 3 x 145 x 1906 = 829110

Least Common Multiple of 435,5718 with GCF Formula

Least Common Multiple of 435,5718 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 435,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(435,5718) = 3

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

GCF(435,5718) x common factors =3 x 1 = 3

LCM(435,5718) = ( 435 × 5718 ) / 3

LCM(435,5718) = 2487330 / 3

LCM(435,5718) = 829110


Lets's calculate GCF of 124,9852

2 124, 9852
2 62, 4926
31, 2463

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829110/4

Therefore the LCM of Fractions 435/124,5718/9852 is 829110/4

Greatest Common Factor of 124,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,9852 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 124,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 124,9852 is 4.


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 435/124, 5718/9852

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 435/124, 5718/9852?

Answer: LCM of Numerators as per given numbers 435/124, 5718/9852 is

LCM of Numerators i.e. for 435,5718 is 829110

GCF of denominators i.e. for 124,9852 is 4.

Thus, LCM of Fractions is 829110/4.Finally, LCM of Fractions for 435/124, 5718/9852 is 829110/4.