Least Common Multiple of 719/608, 5145/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/608, 5145/384 quickly i.e. 3699255/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/608, 5145/384 is 3699255/32.

LCM(719/608, 5145/384) = 3699255/32

LCM of 719/608, 5145/384

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 719/608,5145/384

Given numbers are 719/608,5145/384

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 719,5145

Least Common Multiple of Numerators i.e. LCM of 719,5145 is 3699255.

GCF of Denominators means GCF of 608,384 as per the given fractions.

GCF of 608,384 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,5145

LCM of Fractions 719/608,5145/384 is 3699255/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 3699255

Least Common Multiple of 719,5145 with GCF Formula

Least Common Multiple of 719,5145 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 719,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,5145) = 1

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

GCF(719,5145) x common factors =1 x 1 = 1

LCM(719,5145) = ( 719 × 5145 ) / 1

LCM(719,5145) = 3699255 / 1

LCM(719,5145) = 3699255


Lets's calculate GCF of 608,384

2 608, 384
2 304, 192
2 152, 96
2 76, 48
2 38, 24
19, 12

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3699255/32

Therefore the LCM of Fractions 719/608,5145/384 is 3699255/32

Greatest Common Factor of 608,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,384 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 608,384 . The biggest common factor number is the GCF number.
So the greatest common factor 608,384 is 32.


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 719/608, 5145/384

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 719/608, 5145/384?

Answer: LCM of Numerators as per given numbers 719/608, 5145/384 is

LCM of Numerators i.e. for 719,5145 is 3699255

GCF of denominators i.e. for 608,384 is 32.

Thus, LCM of Fractions is 3699255/32.Finally, LCM of Fractions for 719/608, 5145/384 is 3699255/32.