Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/72, 808/78, 169/136 quickly i.e. 1160692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/72, 808/78, 169/136 is 1160692.
LCM(68/72, 808/78, 169/136) = 1160692
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/72,808/78,169/136
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 68,808,169
Least Common Multiple of Numerators i.e. LCM of 68,808,169 is 2321384.
GCF of Denominators means GCF of 72,78,136 as per the given fractions.
GCF of 72,78,136 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,808,169
2 | 68, 808, 169 |
2 | 34, 404, 169 |
17, 202, 169 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 202 x 169 = 2321384
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 68,808,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,808,169) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,808,169) x common factors =1 x 4 = 4
LCM(68,808,169) = ( 68 × 808 × 169 ) / 4
LCM(68,808,169) = 9285536 / 4
LCM(68,808,169) = 2321384
Lets's calculate GCF of 72,78,136
2 | 72, 78, 136 |
36, 39, 68 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2321384/2
Therefore the LCM of Fractions 68/72,808/78,169/136 is 1160692
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 72,78,136 . The biggest common factor number is the GCF number.
So the greatest common factor 72,78,136 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 68/72, 808/78, 169/136?
Answer: LCM of Numerators as per given numbers 68/72, 808/78, 169/136 is
LCM of Numerators i.e. for 68,808,169 is 2321384
GCF of denominators i.e. for 72,78,136 is 2.
Thus, LCM of Fractions is 1160692.Finally, LCM of Fractions for 68/72, 808/78, 169/136 is 1160692.