Least Common Multiple of 29/894, 720/982, 343/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/894, 720/982, 343/416 quickly i.e. 3580920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/894, 720/982, 343/416 is 3580920.

LCM(29/894, 720/982, 343/416) = 3580920

LCM of 29/894, 720/982, 343/416

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 29/894,720/982,343/416

Given numbers are 29/894,720/982,343/416

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 29,720,343

Least Common Multiple of Numerators i.e. LCM of 29,720,343 is 7161840.

GCF of Denominators means GCF of 894,982,416 as per the given fractions.

GCF of 894,982,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,720,343

LCM of Fractions 29/894,720/982,343/416 is 3580920

Given numbers has no common factors except 1. So, there LCM is their product i.e 7161840

Least Common Multiple of 29,720,343 with GCF Formula

Least Common Multiple of 29,720,343 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 29,720,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,720,343) = 1

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

GCF(29,720,343) x common factors =1 x 1 = 1

LCM(29,720,343) = ( 29 × 720 × 343 ) / 1

LCM(29,720,343) = 7161840 / 1

LCM(29,720,343) = 7161840


Lets's calculate GCF of 894,982,416

2 894, 982, 416
447, 491, 208

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7161840/2

Therefore the LCM of Fractions 29/894,720/982,343/416 is 3580920

Greatest Common Factor of 894,982,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,982,416 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 894,982,416 . The biggest common factor number is the GCF number.
So the greatest common factor 894,982,416 is 2.


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 29/894, 720/982, 343/416

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 29/894, 720/982, 343/416?

Answer: LCM of Numerators as per given numbers 29/894, 720/982, 343/416 is

LCM of Numerators i.e. for 29,720,343 is 7161840

GCF of denominators i.e. for 894,982,416 is 2.

Thus, LCM of Fractions is 3580920.Finally, LCM of Fractions for 29/894, 720/982, 343/416 is 3580920.