Least Common Multiple of 768/52, 838/36, 369/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/52, 838/36, 369/10 quickly i.e. 19790208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/52, 838/36, 369/10 is 19790208.

LCM(768/52, 838/36, 369/10) = 19790208

LCM of 768/52, 838/36, 369/10

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 768/52,838/36,369/10

Given numbers are 768/52,838/36,369/10

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 768,838,369

Least Common Multiple of Numerators i.e. LCM of 768,838,369 is 39580416.

GCF of Denominators means GCF of 52,36,10 as per the given fractions.

GCF of 52,36,10 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,838,369

LCM of Fractions 768/52,838/36,369/10 is 19790208

2 768, 838, 369
3 384, 419, 369
128, 419, 123

∴ So the LCM of the given numbers is 2 x 3 x 128 x 419 x 123 = 39580416

Least Common Multiple of 768,838,369 with GCF Formula

Least Common Multiple of 768,838,369 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 768,838,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,838,369) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(768,838,369) x common factors =1 x 6 = 6

LCM(768,838,369) = ( 768 × 838 × 369 ) / 6

LCM(768,838,369) = 237482496 / 6

LCM(768,838,369) = 39580416


Lets's calculate GCF of 52,36,10

2 52, 36, 10
26, 18, 5

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39580416/2

Therefore the LCM of Fractions 768/52,838/36,369/10 is 19790208

Greatest Common Factor of 52,36,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,36,10 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 52,36,10 . The biggest common factor number is the GCF number.
So the greatest common factor 52,36,10 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 768/52, 838/36, 369/10

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 768/52, 838/36, 369/10?

Answer: LCM of Numerators as per given numbers 768/52, 838/36, 369/10 is

LCM of Numerators i.e. for 768,838,369 is 39580416

GCF of denominators i.e. for 52,36,10 is 2.

Thus, LCM of Fractions is 19790208.Finally, LCM of Fractions for 768/52, 838/36, 369/10 is 19790208.