Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 660/70, 635/7156 quickly i.e. 41910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 660/70, 635/7156 is 41910.
LCM(660/70, 635/7156) = 41910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 660/70,635/7156
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 660,635
Least Common Multiple of Numerators i.e. LCM of 660,635 is 83820.
GCF of Denominators means GCF of 70,7156 as per the given fractions.
GCF of 70,7156 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 660,635
5 | 660, 635 |
132, 127 |
∴ So the LCM of the given numbers is 5 x 132 x 127 = 83820
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 660,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,635) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,635) x common factors =5 x 1 = 5
LCM(660,635) = ( 660 × 635 ) / 5
LCM(660,635) = 419100 / 5
LCM(660,635) = 83820
Lets's calculate GCF of 70,7156
2 | 70, 7156 |
35, 3578 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83820/2
Therefore the LCM of Fractions 660/70,635/7156 is 41910
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 7156
List of positive integer factors of 7156 that divides 7156 without a remainder.
1,2,4,1789,3578,7156
Greatest Common Factor
We found the factors 70,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 70,7156 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 660/70, 635/7156?
Answer: LCM of Numerators as per given numbers 660/70, 635/7156 is
LCM of Numerators i.e. for 660,635 is 83820
GCF of denominators i.e. for 70,7156 is 2.
Thus, LCM of Fractions is 41910.Finally, LCM of Fractions for 660/70, 635/7156 is 41910.