Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 839/147, 356/476 quickly i.e. 298684/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 839/147, 356/476 is 298684/7.
LCM(839/147, 356/476) = 298684/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 839/147,356/476
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 839,356
Least Common Multiple of Numerators i.e. LCM of 839,356 is 298684.
GCF of Denominators means GCF of 147,476 as per the given fractions.
GCF of 147,476 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 839,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 298684
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 839,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,356) x common factors =1 x 1 = 1
LCM(839,356) = ( 839 × 356 ) / 1
LCM(839,356) = 298684 / 1
LCM(839,356) = 298684
Lets's calculate GCF of 147,476
7 | 147, 476 |
21, 68 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298684/7
Therefore the LCM of Fractions 839/147,356/476 is 298684/7
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 147,476 . The biggest common factor number is the GCF number.
So the greatest common factor 147,476 is 7.
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 839/147, 356/476?
Answer: LCM of Numerators as per given numbers 839/147, 356/476 is
LCM of Numerators i.e. for 839,356 is 298684
GCF of denominators i.e. for 147,476 is 7.
Thus, LCM of Fractions is 298684/7.Finally, LCM of Fractions for 839/147, 356/476 is 298684/7.