Least Common Multiple of 35/992, 655/400, 403/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/992, 655/400, 403/965 quickly i.e. 1847755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/992, 655/400, 403/965 is 1847755.

LCM(35/992, 655/400, 403/965) = 1847755

LCM of 35/992, 655/400, 403/965

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 35/992,655/400,403/965

Given numbers are 35/992,655/400,403/965

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 35,655,403

Least Common Multiple of Numerators i.e. LCM of 35,655,403 is 1847755.

GCF of Denominators means GCF of 992,400,965 as per the given fractions.

GCF of 992,400,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,655,403

LCM of Fractions 35/992,655/400,403/965 is 1847755

5 35, 655, 403
7, 131, 403

∴ So the LCM of the given numbers is 5 x 7 x 131 x 403 = 1847755

Least Common Multiple of 35,655,403 with GCF Formula

Least Common Multiple of 35,655,403 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 35,655,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,655,403) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,655,403) x common factors =1 x 5 = 5

LCM(35,655,403) = ( 35 × 655 × 403 ) / 5

LCM(35,655,403) = 9238775 / 5

LCM(35,655,403) = 1847755


Lets's calculate GCF of 992,400,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1847755/1

Therefore the LCM of Fractions 35/992,655/400,403/965 is 1847755

Greatest Common Factor of 992,400,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,400,965 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 992,400,965 . The biggest common factor number is the GCF number.
So the greatest common factor 992,400,965 is 1.


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 35/992, 655/400, 403/965

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 35/992, 655/400, 403/965?

Answer: LCM of Numerators as per given numbers 35/992, 655/400, 403/965 is

LCM of Numerators i.e. for 35,655,403 is 1847755

GCF of denominators i.e. for 992,400,965 is 1.

Thus, LCM of Fractions is 1847755.Finally, LCM of Fractions for 35/992, 655/400, 403/965 is 1847755.