Least Common Multiple of 704/920, 5898/6346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 704/920, 5898/6346 quickly i.e. 1038048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/920, 5898/6346 is 1038048.

LCM(704/920, 5898/6346) = 1038048

LCM of 704/920, 5898/6346

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 704/920,5898/6346

Given numbers are 704/920,5898/6346

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 704,5898

Least Common Multiple of Numerators i.e. LCM of 704,5898 is 2076096.

GCF of Denominators means GCF of 920,6346 as per the given fractions.

GCF of 920,6346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,5898

LCM of Fractions 704/920,5898/6346 is 1038048

2 704, 5898
352, 2949

∴ So the LCM of the given numbers is 2 x 352 x 2949 = 2076096

Least Common Multiple of 704,5898 with GCF Formula

Least Common Multiple of 704,5898 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 704,5898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,5898) = 2

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

GCF(704,5898) x common factors =2 x 1 = 2

LCM(704,5898) = ( 704 × 5898 ) / 2

LCM(704,5898) = 4152192 / 2

LCM(704,5898) = 2076096


Lets's calculate GCF of 920,6346

2 920, 6346
460, 3173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2076096/2

Therefore the LCM of Fractions 704/920,5898/6346 is 1038048

Greatest Common Factor of 920,6346 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,6346 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 6346

List of positive integer factors of 6346 that divides 6346 without a remainder.

1,2,19,38,167,334,3173,6346

Greatest Common Factor

We found the factors 920,6346 . The biggest common factor number is the GCF number.
So the greatest common factor 920,6346 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 704/920, 5898/6346

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 704/920, 5898/6346?

Answer: LCM of Numerators as per given numbers 704/920, 5898/6346 is

LCM of Numerators i.e. for 704,5898 is 2076096

GCF of denominators i.e. for 920,6346 is 2.

Thus, LCM of Fractions is 1038048.Finally, LCM of Fractions for 704/920, 5898/6346 is 1038048.