Least Common Multiple of 492/91, 704/5889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/91, 704/5889 quickly i.e. 86592/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/91, 704/5889 is 86592/13.

LCM(492/91, 704/5889) = 86592/13

LCM of 492/91, 704/5889

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 492/91,704/5889

Given numbers are 492/91,704/5889

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 492,704

Least Common Multiple of Numerators i.e. LCM of 492,704 is 86592.

GCF of Denominators means GCF of 91,5889 as per the given fractions.

GCF of 91,5889 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,704

LCM of Fractions 492/91,704/5889 is 86592/13

2 492, 704
2 246, 352
123, 176

∴ So the LCM of the given numbers is 2 x 2 x 123 x 176 = 86592

Least Common Multiple of 492,704 with GCF Formula

Least Common Multiple of 492,704 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 492,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,704) = 4

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

GCF(492,704) x common factors =4 x 1 = 4

LCM(492,704) = ( 492 × 704 ) / 4

LCM(492,704) = 346368 / 4

LCM(492,704) = 86592


Lets's calculate GCF of 91,5889

13 91, 5889
7, 453

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86592/13

Therefore the LCM of Fractions 492/91,704/5889 is 86592/13

Greatest Common Factor of 91,5889 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,5889 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1,3,13,39,151,453,1963,5889

Greatest Common Factor

We found the factors 91,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 91,5889 is 13.


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 492/91, 704/5889

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 492/91, 704/5889?

Answer: LCM of Numerators as per given numbers 492/91, 704/5889 is

LCM of Numerators i.e. for 492,704 is 86592

GCF of denominators i.e. for 91,5889 is 13.

Thus, LCM of Fractions is 86592/13.Finally, LCM of Fractions for 492/91, 704/5889 is 86592/13.