Least Common Multiple of 35/704, 857/653, 621/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/704, 857/653, 621/313 quickly i.e. 18626895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/704, 857/653, 621/313 is 18626895.

LCM(35/704, 857/653, 621/313) = 18626895

LCM of 35/704, 857/653, 621/313

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 35/704,857/653,621/313

Given numbers are 35/704,857/653,621/313

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 35,857,621

Least Common Multiple of Numerators i.e. LCM of 35,857,621 is 18626895.

GCF of Denominators means GCF of 704,653,313 as per the given fractions.

GCF of 704,653,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,857,621

LCM of Fractions 35/704,857/653,621/313 is 18626895

Given numbers has no common factors except 1. So, there LCM is their product i.e 18626895

Least Common Multiple of 35,857,621 with GCF Formula

Least Common Multiple of 35,857,621 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 35,857,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,857,621) = 1

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

GCF(35,857,621) x common factors =1 x 1 = 1

LCM(35,857,621) = ( 35 × 857 × 621 ) / 1

LCM(35,857,621) = 18626895 / 1

LCM(35,857,621) = 18626895


Lets's calculate GCF of 704,653,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18626895/1

Therefore the LCM of Fractions 35/704,857/653,621/313 is 18626895

Greatest Common Factor of 704,653,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,653,313 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 704,653,313 . The biggest common factor number is the GCF number.
So the greatest common factor 704,653,313 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 35/704, 857/653, 621/313

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 35/704, 857/653, 621/313?

Answer: LCM of Numerators as per given numbers 35/704, 857/653, 621/313 is

LCM of Numerators i.e. for 35,857,621 is 18626895

GCF of denominators i.e. for 704,653,313 is 1.

Thus, LCM of Fractions is 18626895.Finally, LCM of Fractions for 35/704, 857/653, 621/313 is 18626895.