Least Common Multiple of 828/766, 3864/1193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/766, 3864/1193 quickly i.e. 11592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/766, 3864/1193 is 11592.

LCM(828/766, 3864/1193) = 11592

LCM of 828/766, 3864/1193

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 828/766,3864/1193

Given numbers are 828/766,3864/1193

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 828,3864

Least Common Multiple of Numerators i.e. LCM of 828,3864 is 11592.

GCF of Denominators means GCF of 766,1193 as per the given fractions.

GCF of 766,1193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,3864

LCM of Fractions 828/766,3864/1193 is 11592

2 828, 3864
2 414, 1932
3 207, 966
23 69, 322
3, 14

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 3 x 14 = 11592

Least Common Multiple of 828,3864 with GCF Formula

Least Common Multiple of 828,3864 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 828,3864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,3864) = 276

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

GCF(828,3864) x common factors =276 x 1 = 276

LCM(828,3864) = ( 828 × 3864 ) / 276

LCM(828,3864) = 3199392 / 276

LCM(828,3864) = 11592


Lets's calculate GCF of 766,1193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11592/1

Therefore the LCM of Fractions 828/766,3864/1193 is 11592

Greatest Common Factor of 766,1193 By Matching Biggest Common Factor Method

Greatest Common Factor of 766,1193 By Matching Biggest Common Factor Method

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 1193

List of positive integer factors of 1193 that divides 1193 without a remainder.

1,1193

Greatest Common Factor

We found the factors 766,1193 . The biggest common factor number is the GCF number.
So the greatest common factor 766,1193 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 828/766, 3864/1193

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 828/766, 3864/1193?

Answer: LCM of Numerators as per given numbers 828/766, 3864/1193 is

LCM of Numerators i.e. for 828,3864 is 11592

GCF of denominators i.e. for 766,1193 is 1.

Thus, LCM of Fractions is 11592.Finally, LCM of Fractions for 828/766, 3864/1193 is 11592.