Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/832, 810/653, 515/436 quickly i.e. 1084590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/832, 810/653, 515/436 is 1084590.
LCM(78/832, 810/653, 515/436) = 1084590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/832,810/653,515/436
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 78,810,515
Least Common Multiple of Numerators i.e. LCM of 78,810,515 is 1084590.
GCF of Denominators means GCF of 832,653,436 as per the given fractions.
GCF of 832,653,436 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,810,515
2 | 78, 810, 515 |
3 | 39, 405, 515 |
5 | 13, 135, 515 |
13, 27, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 27 x 103 = 1084590
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 78,810,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,810,515) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(78,810,515) x common factors =1 x 30 = 30
LCM(78,810,515) = ( 78 × 810 × 515 ) / 30
LCM(78,810,515) = 32537700 / 30
LCM(78,810,515) = 1084590
Lets's calculate GCF of 832,653,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1084590/1
Therefore the LCM of Fractions 78/832,810/653,515/436 is 1084590
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 832,653,436 . The biggest common factor number is the GCF number.
So the greatest common factor 832,653,436 is 1.
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 78/832, 810/653, 515/436?
Answer: LCM of Numerators as per given numbers 78/832, 810/653, 515/436 is
LCM of Numerators i.e. for 78,810,515 is 1084590
GCF of denominators i.e. for 832,653,436 is 1.
Thus, LCM of Fractions is 1084590.Finally, LCM of Fractions for 78/832, 810/653, 515/436 is 1084590.