Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/364, 108/920, 801/292 quickly i.e. 31239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/364, 108/920, 801/292 is 31239.
LCM(78/364, 108/920, 801/292) = 31239
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/364,108/920,801/292
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 78,108,801
Least Common Multiple of Numerators i.e. LCM of 78,108,801 is 124956.
GCF of Denominators means GCF of 364,920,292 as per the given fractions.
GCF of 364,920,292 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,108,801
2 | 78, 108, 801 |
3 | 39, 54, 801 |
3 | 13, 18, 267 |
13, 6, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 6 x 89 = 124956
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 78,108,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,108,801) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(78,108,801) x common factors =3 x 18 = 54
LCM(78,108,801) = ( 78 × 108 × 801 ) / 54
LCM(78,108,801) = 6747624 / 54
LCM(78,108,801) = 124956
Lets's calculate GCF of 364,920,292
2 | 364, 920, 292 |
2 | 182, 460, 146 |
91, 230, 73 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124956/4
Therefore the LCM of Fractions 78/364,108/920,801/292 is 31239
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 364,920,292 . The biggest common factor number is the GCF number.
So the greatest common factor 364,920,292 is 4.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 78/364, 108/920, 801/292?
Answer: LCM of Numerators as per given numbers 78/364, 108/920, 801/292 is
LCM of Numerators i.e. for 78,108,801 is 124956
GCF of denominators i.e. for 364,920,292 is 4.
Thus, LCM of Fractions is 31239.Finally, LCM of Fractions for 78/364, 108/920, 801/292 is 31239.