Least Common Multiple of 35/699, 23/410, 570/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/699, 23/410, 570/368 quickly i.e. 91770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/699, 23/410, 570/368 is 91770.

LCM(35/699, 23/410, 570/368) = 91770

LCM of 35/699, 23/410, 570/368

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 35/699,23/410,570/368

Given numbers are 35/699,23/410,570/368

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 35,23,570

Least Common Multiple of Numerators i.e. LCM of 35,23,570 is 91770.

GCF of Denominators means GCF of 699,410,368 as per the given fractions.

GCF of 699,410,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,23,570

LCM of Fractions 35/699,23/410,570/368 is 91770

5 35, 23, 570
7, 23, 114

∴ So the LCM of the given numbers is 5 x 7 x 23 x 114 = 91770

Least Common Multiple of 35,23,570 with GCF Formula

Least Common Multiple of 35,23,570 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 35,23,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,23,570) = 1

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

GCF(35,23,570) x common factors =1 x 5 = 5

LCM(35,23,570) = ( 35 × 23 × 570 ) / 5

LCM(35,23,570) = 458850 / 5

LCM(35,23,570) = 91770


Lets's calculate GCF of 699,410,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91770/1

Therefore the LCM of Fractions 35/699,23/410,570/368 is 91770

Greatest Common Factor of 699,410,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,410,368 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 699,410,368 . The biggest common factor number is the GCF number.
So the greatest common factor 699,410,368 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 35/699, 23/410, 570/368

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 35/699, 23/410, 570/368?

Answer: LCM of Numerators as per given numbers 35/699, 23/410, 570/368 is

LCM of Numerators i.e. for 35,23,570 is 91770

GCF of denominators i.e. for 699,410,368 is 1.

Thus, LCM of Fractions is 91770.Finally, LCM of Fractions for 35/699, 23/410, 570/368 is 91770.