Least Common Multiple of 35/605, 28/823, 783/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/605, 28/823, 783/919 quickly i.e. 109620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/605, 28/823, 783/919 is 109620.

LCM(35/605, 28/823, 783/919) = 109620

LCM of 35/605, 28/823, 783/919

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 35/605,28/823,783/919

Given numbers are 35/605,28/823,783/919

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 35,28,783

Least Common Multiple of Numerators i.e. LCM of 35,28,783 is 109620.

GCF of Denominators means GCF of 605,823,919 as per the given fractions.

GCF of 605,823,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,28,783

LCM of Fractions 35/605,28/823,783/919 is 109620

7 35, 28, 783
5, 4, 783

∴ So the LCM of the given numbers is 7 x 5 x 4 x 783 = 109620

Least Common Multiple of 35,28,783 with GCF Formula

Least Common Multiple of 35,28,783 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 35,28,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,28,783) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,28,783) x common factors =1 x 7 = 7

LCM(35,28,783) = ( 35 × 28 × 783 ) / 7

LCM(35,28,783) = 767340 / 7

LCM(35,28,783) = 109620


Lets's calculate GCF of 605,823,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109620/1

Therefore the LCM of Fractions 35/605,28/823,783/919 is 109620

Greatest Common Factor of 605,823,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,823,919 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 605,823,919 . The biggest common factor number is the GCF number.
So the greatest common factor 605,823,919 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 35/605, 28/823, 783/919

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 35/605, 28/823, 783/919?

Answer: LCM of Numerators as per given numbers 35/605, 28/823, 783/919 is

LCM of Numerators i.e. for 35,28,783 is 109620

GCF of denominators i.e. for 605,823,919 is 1.

Thus, LCM of Fractions is 109620.Finally, LCM of Fractions for 35/605, 28/823, 783/919 is 109620.