Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 638/782, 142/794 quickly i.e. 22649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 638/782, 142/794 is 22649.
LCM(638/782, 142/794) = 22649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 638/782,142/794
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 638,142
Least Common Multiple of Numerators i.e. LCM of 638,142 is 45298.
GCF of Denominators means GCF of 782,794 as per the given fractions.
GCF of 782,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 638,142
2 | 638, 142 |
319, 71 |
∴ So the LCM of the given numbers is 2 x 319 x 71 = 45298
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 638,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,142) x common factors =2 x 1 = 2
LCM(638,142) = ( 638 × 142 ) / 2
LCM(638,142) = 90596 / 2
LCM(638,142) = 45298
Lets's calculate GCF of 782,794
2 | 782, 794 |
391, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45298/2
Therefore the LCM of Fractions 638/782,142/794 is 22649
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 782,794 . The biggest common factor number is the GCF number.
So the greatest common factor 782,794 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 638/782, 142/794?
Answer: LCM of Numerators as per given numbers 638/782, 142/794 is
LCM of Numerators i.e. for 638,142 is 45298
GCF of denominators i.e. for 782,794 is 2.
Thus, LCM of Fractions is 22649.Finally, LCM of Fractions for 638/782, 142/794 is 22649.