Least Common Multiple of 35/556, 29/687, 762/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/556, 29/687, 762/815 quickly i.e. 773430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/556, 29/687, 762/815 is 773430.

LCM(35/556, 29/687, 762/815) = 773430

LCM of 35/556, 29/687, 762/815

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 35/556,29/687,762/815

Given numbers are 35/556,29/687,762/815

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 35,29,762

Least Common Multiple of Numerators i.e. LCM of 35,29,762 is 773430.

GCF of Denominators means GCF of 556,687,815 as per the given fractions.

GCF of 556,687,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,29,762

LCM of Fractions 35/556,29/687,762/815 is 773430

Given numbers has no common factors except 1. So, there LCM is their product i.e 773430

Least Common Multiple of 35,29,762 with GCF Formula

Least Common Multiple of 35,29,762 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 35,29,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,29,762) = 1

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

GCF(35,29,762) x common factors =1 x 1 = 1

LCM(35,29,762) = ( 35 × 29 × 762 ) / 1

LCM(35,29,762) = 773430 / 1

LCM(35,29,762) = 773430


Lets's calculate GCF of 556,687,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 773430/1

Therefore the LCM of Fractions 35/556,29/687,762/815 is 773430

Greatest Common Factor of 556,687,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,687,815 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 556,687,815 . The biggest common factor number is the GCF number.
So the greatest common factor 556,687,815 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 35/556, 29/687, 762/815

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 35/556, 29/687, 762/815?

Answer: LCM of Numerators as per given numbers 35/556, 29/687, 762/815 is

LCM of Numerators i.e. for 35,29,762 is 773430

GCF of denominators i.e. for 556,687,815 is 1.

Thus, LCM of Fractions is 773430.Finally, LCM of Fractions for 35/556, 29/687, 762/815 is 773430.