Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/70, 2/20, 18/63, 60/808 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/70, 2/20, 18/63, 60/808 is 1260.
LCM(7/70, 2/20, 18/63, 60/808) = 1260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/70,2/20,18/63,60/808
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 7,2,18,60
Least Common Multiple of Numerators i.e. LCM of 7,2,18,60 is 1260.
GCF of Denominators means GCF of 70,20,63,808 as per the given fractions.
GCF of 70,20,63,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,2,18,60
2 | 7, 2, 18, 60 |
3 | 7, 1, 9, 30 |
7, 1, 3, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 3 x 10 = 1260
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 7,2,18,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,2,18,60) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(7,2,18,60) x common factors =1 x 12 = 12
LCM(7,2,18,60) = ( 7 × 2 × 18 × 60 ) / 12
LCM(7,2,18,60) = 15120 / 12
LCM(7,2,18,60) = 1260
Lets's calculate GCF of 70,20,63,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1
Therefore the LCM of Fractions 7/70,2/20,18/63,60/808 is 1260
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 70,20,63,808 . The biggest common factor number is the GCF number.
So the greatest common factor 70,20,63,808 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 7/70, 2/20, 18/63, 60/808?
Answer: LCM of Numerators as per given numbers 7/70, 2/20, 18/63, 60/808 is
LCM of Numerators i.e. for 7,2,18,60 is 1260
GCF of denominators i.e. for 70,20,63,808 is 1.
Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 7/70, 2/20, 18/63, 60/808 is 1260.