Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/18, 30/622, 778/656 quickly i.e. 70020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/18, 30/622, 778/656 is 70020.
LCM(72/18, 30/622, 778/656) = 70020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/18,30/622,778/656
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 72,30,778
Least Common Multiple of Numerators i.e. LCM of 72,30,778 is 140040.
GCF of Denominators means GCF of 18,622,656 as per the given fractions.
GCF of 18,622,656 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,30,778
2 | 72, 30, 778 |
3 | 36, 15, 389 |
12, 5, 389 |
∴ So the LCM of the given numbers is 2 x 3 x 12 x 5 x 389 = 140040
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 72,30,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,30,778) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(72,30,778) x common factors =2 x 6 = 12
LCM(72,30,778) = ( 72 × 30 × 778 ) / 12
LCM(72,30,778) = 1680480 / 12
LCM(72,30,778) = 140040
Lets's calculate GCF of 18,622,656
2 | 18, 622, 656 |
9, 311, 328 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140040/2
Therefore the LCM of Fractions 72/18,30/622,778/656 is 70020
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 18,622,656 . The biggest common factor number is the GCF number.
So the greatest common factor 18,622,656 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 72/18, 30/622, 778/656?
Answer: LCM of Numerators as per given numbers 72/18, 30/622, 778/656 is
LCM of Numerators i.e. for 72,30,778 is 140040
GCF of denominators i.e. for 18,622,656 is 2.
Thus, LCM of Fractions is 70020.Finally, LCM of Fractions for 72/18, 30/622, 778/656 is 70020.