Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/520, 88/152, 904/814 quickly i.e. 392788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/520, 88/152, 904/814 is 392788.
LCM(79/520, 88/152, 904/814) = 392788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/520,88/152,904/814
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 79,88,904
Least Common Multiple of Numerators i.e. LCM of 79,88,904 is 785576.
GCF of Denominators means GCF of 520,152,814 as per the given fractions.
GCF of 520,152,814 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,88,904
2 | 79, 88, 904 |
2 | 79, 44, 452 |
2 | 79, 22, 226 |
79, 11, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 11 x 113 = 785576
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 79,88,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,88,904) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(79,88,904) x common factors =1 x 8 = 8
LCM(79,88,904) = ( 79 × 88 × 904 ) / 8
LCM(79,88,904) = 6284608 / 8
LCM(79,88,904) = 785576
Lets's calculate GCF of 520,152,814
2 | 520, 152, 814 |
260, 76, 407 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 785576/2
Therefore the LCM of Fractions 79/520,88/152,904/814 is 392788
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 520,152,814 . The biggest common factor number is the GCF number.
So the greatest common factor 520,152,814 is 2.
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 79/520, 88/152, 904/814?
Answer: LCM of Numerators as per given numbers 79/520, 88/152, 904/814 is
LCM of Numerators i.e. for 79,88,904 is 785576
GCF of denominators i.e. for 520,152,814 is 2.
Thus, LCM of Fractions is 392788.Finally, LCM of Fractions for 79/520, 88/152, 904/814 is 392788.