Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/340, 1684/8792 quickly i.e. 13051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/340, 1684/8792 is 13051.
LCM(62/340, 1684/8792) = 13051
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/340,1684/8792
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 62,1684
Least Common Multiple of Numerators i.e. LCM of 62,1684 is 52204.
GCF of Denominators means GCF of 340,8792 as per the given fractions.
GCF of 340,8792 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,1684
2 | 62, 1684 |
31, 842 |
∴ So the LCM of the given numbers is 2 x 31 x 842 = 52204
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 62,1684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,1684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,1684) x common factors =2 x 1 = 2
LCM(62,1684) = ( 62 × 1684 ) / 2
LCM(62,1684) = 104408 / 2
LCM(62,1684) = 52204
Lets's calculate GCF of 340,8792
2 | 340, 8792 |
2 | 170, 4396 |
85, 2198 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52204/4
Therefore the LCM of Fractions 62/340,1684/8792 is 13051
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 8792
List of positive integer factors of 8792 that divides 8792 without a remainder.
1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Greatest Common Factor
We found the factors 340,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 340,8792 is 4.
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 62/340, 1684/8792?
Answer: LCM of Numerators as per given numbers 62/340, 1684/8792 is
LCM of Numerators i.e. for 62,1684 is 52204
GCF of denominators i.e. for 340,8792 is 4.
Thus, LCM of Fractions is 13051.Finally, LCM of Fractions for 62/340, 1684/8792 is 13051.