Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/70, 35/50, 60/769 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 63/70, 35/50, 60/769 is 1260.
LCM(63/70, 35/50, 60/769) = 1260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/70,35/50,60/769
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 63,35,60
Least Common Multiple of Numerators i.e. LCM of 63,35,60 is 1260.
GCF of Denominators means GCF of 70,50,769 as per the given fractions.
GCF of 70,50,769 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,35,60
3 | 63, 35, 60 |
5 | 21, 35, 20 |
7 | 21, 7, 4 |
3, 1, 4 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 3 x 1 x 4 = 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 63,35,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,35,60) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(63,35,60) x common factors =1 x 105 = 105
LCM(63,35,60) = ( 63 × 35 × 60 ) / 105
LCM(63,35,60) = 132300 / 105
LCM(63,35,60) = 1260
Lets's calculate GCF of 70,50,769
∴ 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 63/70,35/50,60/769 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 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 70,50,769 . The biggest common factor number is the GCF number.
So the greatest common factor 70,50,769 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 63/70, 35/50, 60/769?
Answer: LCM of Numerators as per given numbers 63/70, 35/50, 60/769 is
LCM of Numerators i.e. for 63,35,60 is 1260
GCF of denominators i.e. for 70,50,769 is 1.
Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 63/70, 35/50, 60/769 is 1260.