Least Common Multiple of 769/54, 438/48, 470/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/54, 438/48, 470/834 quickly i.e. 13192195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/54, 438/48, 470/834 is 13192195.

LCM(769/54, 438/48, 470/834) = 13192195

LCM of 769/54, 438/48, 470/834

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 769/54,438/48,470/834

Given numbers are 769/54,438/48,470/834

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 769,438,470

Least Common Multiple of Numerators i.e. LCM of 769,438,470 is 79153170.

GCF of Denominators means GCF of 54,48,834 as per the given fractions.

GCF of 54,48,834 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,438,470

LCM of Fractions 769/54,438/48,470/834 is 13192195

2 769, 438, 470
769, 219, 235

∴ So the LCM of the given numbers is 2 x 769 x 219 x 235 = 79153170

Least Common Multiple of 769,438,470 with GCF Formula

Least Common Multiple of 769,438,470 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 769,438,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,438,470) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(769,438,470) x common factors =1 x 2 = 2

LCM(769,438,470) = ( 769 × 438 × 470 ) / 2

LCM(769,438,470) = 158306340 / 2

LCM(769,438,470) = 79153170


Lets's calculate GCF of 54,48,834

2 54, 48, 834
3 27, 24, 417
9, 8, 139

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79153170/6

Therefore the LCM of Fractions 769/54,438/48,470/834 is 13192195

Greatest Common Factor of 54,48,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,48,834 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 54,48,834 . The biggest common factor number is the GCF number.
So the greatest common factor 54,48,834 is 6.


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 769/54, 438/48, 470/834

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 769/54, 438/48, 470/834?

Answer: LCM of Numerators as per given numbers 769/54, 438/48, 470/834 is

LCM of Numerators i.e. for 769,438,470 is 79153170

GCF of denominators i.e. for 54,48,834 is 6.

Thus, LCM of Fractions is 13192195.Finally, LCM of Fractions for 769/54, 438/48, 470/834 is 13192195.