Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 784/134, 844/740 quickly i.e. 82712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 784/134, 844/740 is 82712.
LCM(784/134, 844/740) = 82712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 784/134,844/740
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 784,844
Least Common Multiple of Numerators i.e. LCM of 784,844 is 165424.
GCF of Denominators means GCF of 134,740 as per the given fractions.
GCF of 134,740 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 784,844
2 | 784, 844 |
2 | 392, 422 |
196, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 196 x 211 = 165424
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 784,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(784,844) x common factors =4 x 1 = 4
LCM(784,844) = ( 784 × 844 ) / 4
LCM(784,844) = 661696 / 4
LCM(784,844) = 165424
Lets's calculate GCF of 134,740
2 | 134, 740 |
67, 370 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165424/2
Therefore the LCM of Fractions 784/134,844/740 is 82712
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 134,740 . The biggest common factor number is the GCF number.
So the greatest common factor 134,740 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 784/134, 844/740?
Answer: LCM of Numerators as per given numbers 784/134, 844/740 is
LCM of Numerators i.e. for 784,844 is 165424
GCF of denominators i.e. for 134,740 is 2.
Thus, LCM of Fractions is 82712.Finally, LCM of Fractions for 784/134, 844/740 is 82712.