Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 940/72, 132/79, 635/442 quickly i.e. 3939540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 940/72, 132/79, 635/442 is 3939540.
LCM(940/72, 132/79, 635/442) = 3939540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 940/72,132/79,635/442
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 940,132,635
Least Common Multiple of Numerators i.e. LCM of 940,132,635 is 3939540.
GCF of Denominators means GCF of 72,79,442 as per the given fractions.
GCF of 72,79,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 940,132,635
2 | 940, 132, 635 |
2 | 470, 66, 635 |
5 | 235, 33, 635 |
47, 33, 127 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 47 x 33 x 127 = 3939540
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 940,132,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,132,635) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(940,132,635) x common factors =1 x 20 = 20
LCM(940,132,635) = ( 940 × 132 × 635 ) / 20
LCM(940,132,635) = 78790800 / 20
LCM(940,132,635) = 3939540
Lets's calculate GCF of 72,79,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3939540/1
Therefore the LCM of Fractions 940/72,132/79,635/442 is 3939540
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 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 72,79,442 . The biggest common factor number is the GCF number.
So the greatest common factor 72,79,442 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 940/72, 132/79, 635/442?
Answer: LCM of Numerators as per given numbers 940/72, 132/79, 635/442 is
LCM of Numerators i.e. for 940,132,635 is 3939540
GCF of denominators i.e. for 72,79,442 is 1.
Thus, LCM of Fractions is 3939540.Finally, LCM of Fractions for 940/72, 132/79, 635/442 is 3939540.