Least Common Multiple of 807/905, 416/764, 613/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 807/905, 416/764, 613/342 quickly i.e. 205791456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/905, 416/764, 613/342 is 205791456.

LCM(807/905, 416/764, 613/342) = 205791456

LCM of 807/905, 416/764, 613/342

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 807/905,416/764,613/342

Given numbers are 807/905,416/764,613/342

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 807,416,613

Least Common Multiple of Numerators i.e. LCM of 807,416,613 is 205791456.

GCF of Denominators means GCF of 905,764,342 as per the given fractions.

GCF of 905,764,342 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,416,613

LCM of Fractions 807/905,416/764,613/342 is 205791456

Given numbers has no common factors except 1. So, there LCM is their product i.e 205791456

Least Common Multiple of 807,416,613 with GCF Formula

Least Common Multiple of 807,416,613 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 807,416,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,416,613) = 1

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

GCF(807,416,613) x common factors =1 x 1 = 1

LCM(807,416,613) = ( 807 × 416 × 613 ) / 1

LCM(807,416,613) = 205791456 / 1

LCM(807,416,613) = 205791456


Lets's calculate GCF of 905,764,342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205791456/1

Therefore the LCM of Fractions 807/905,416/764,613/342 is 205791456

Greatest Common Factor of 905,764,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,764,342 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 905,764,342 . The biggest common factor number is the GCF number.
So the greatest common factor 905,764,342 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 807/905, 416/764, 613/342

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 807/905, 416/764, 613/342?

Answer: LCM of Numerators as per given numbers 807/905, 416/764, 613/342 is

LCM of Numerators i.e. for 807,416,613 is 205791456

GCF of denominators i.e. for 905,764,342 is 1.

Thus, LCM of Fractions is 205791456.Finally, LCM of Fractions for 807/905, 416/764, 613/342 is 205791456.