Least Common Multiple of 709/904, 109/479, 986/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/904, 109/479, 986/446 quickly i.e. 76199066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/904, 109/479, 986/446 is 76199066.

LCM(709/904, 109/479, 986/446) = 76199066

LCM of 709/904, 109/479, 986/446

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 709/904,109/479,986/446

Given numbers are 709/904,109/479,986/446

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 709,109,986

Least Common Multiple of Numerators i.e. LCM of 709,109,986 is 76199066.

GCF of Denominators means GCF of 904,479,446 as per the given fractions.

GCF of 904,479,446 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,109,986

LCM of Fractions 709/904,109/479,986/446 is 76199066

Given numbers has no common factors except 1. So, there LCM is their product i.e 76199066

Least Common Multiple of 709,109,986 with GCF Formula

Least Common Multiple of 709,109,986 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 709,109,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,109,986) = 1

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

GCF(709,109,986) x common factors =1 x 1 = 1

LCM(709,109,986) = ( 709 × 109 × 986 ) / 1

LCM(709,109,986) = 76199066 / 1

LCM(709,109,986) = 76199066


Lets's calculate GCF of 904,479,446

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76199066/1

Therefore the LCM of Fractions 709/904,109/479,986/446 is 76199066

Greatest Common Factor of 904,479,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,479,446 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 904,479,446 . The biggest common factor number is the GCF number.
So the greatest common factor 904,479,446 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 709/904, 109/479, 986/446

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 709/904, 109/479, 986/446?

Answer: LCM of Numerators as per given numbers 709/904, 109/479, 986/446 is

LCM of Numerators i.e. for 709,109,986 is 76199066

GCF of denominators i.e. for 904,479,446 is 1.

Thus, LCM of Fractions is 76199066.Finally, LCM of Fractions for 709/904, 109/479, 986/446 is 76199066.