Least Common Multiple of 84/160, 904/809, 349/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/160, 904/809, 349/474 quickly i.e. 6625416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/160, 904/809, 349/474 is 6625416.

LCM(84/160, 904/809, 349/474) = 6625416

LCM of 84/160, 904/809, 349/474

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 84/160,904/809,349/474

Given numbers are 84/160,904/809,349/474

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 84,904,349

Least Common Multiple of Numerators i.e. LCM of 84,904,349 is 6625416.

GCF of Denominators means GCF of 160,809,474 as per the given fractions.

GCF of 160,809,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,904,349

LCM of Fractions 84/160,904/809,349/474 is 6625416

2 84, 904, 349
2 42, 452, 349
21, 226, 349

∴ So the LCM of the given numbers is 2 x 2 x 21 x 226 x 349 = 6625416

Least Common Multiple of 84,904,349 with GCF Formula

Least Common Multiple of 84,904,349 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 84,904,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,904,349) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,904,349) x common factors =1 x 4 = 4

LCM(84,904,349) = ( 84 × 904 × 349 ) / 4

LCM(84,904,349) = 26501664 / 4

LCM(84,904,349) = 6625416


Lets's calculate GCF of 160,809,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6625416/1

Therefore the LCM of Fractions 84/160,904/809,349/474 is 6625416

Greatest Common Factor of 160,809,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,809,474 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 160,809,474 . The biggest common factor number is the GCF number.
So the greatest common factor 160,809,474 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 84/160, 904/809, 349/474

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 84/160, 904/809, 349/474?

Answer: LCM of Numerators as per given numbers 84/160, 904/809, 349/474 is

LCM of Numerators i.e. for 84,904,349 is 6625416

GCF of denominators i.e. for 160,809,474 is 1.

Thus, LCM of Fractions is 6625416.Finally, LCM of Fractions for 84/160, 904/809, 349/474 is 6625416.