Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/78, 78/792, 152/731 quickly i.e. 41496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/78, 78/792, 152/731 is 41496.
LCM(84/78, 78/792, 152/731) = 41496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/78,78/792,152/731
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 84,78,152
Least Common Multiple of Numerators i.e. LCM of 84,78,152 is 41496.
GCF of Denominators means GCF of 78,792,731 as per the given fractions.
GCF of 78,792,731 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,78,152
2 | 84, 78, 152 |
2 | 42, 39, 76 |
3 | 21, 39, 38 |
7, 13, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 13 x 38 = 41496
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 84,78,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,78,152) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(84,78,152) x common factors =2 x 12 = 24
LCM(84,78,152) = ( 84 × 78 × 152 ) / 24
LCM(84,78,152) = 995904 / 24
LCM(84,78,152) = 41496
Lets's calculate GCF of 78,792,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41496/1
Therefore the LCM of Fractions 84/78,78/792,152/731 is 41496
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 78,792,731 . The biggest common factor number is the GCF number.
So the greatest common factor 78,792,731 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 84/78, 78/792, 152/731?
Answer: LCM of Numerators as per given numbers 84/78, 78/792, 152/731 is
LCM of Numerators i.e. for 84,78,152 is 41496
GCF of denominators i.e. for 78,792,731 is 1.
Thus, LCM of Fractions is 41496.Finally, LCM of Fractions for 84/78, 78/792, 152/731 is 41496.