Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/378, 8525/214 quickly i.e. 579700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/378, 8525/214 is 579700.
LCM(136/378, 8525/214) = 579700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/378,8525/214
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 136,8525
Least Common Multiple of Numerators i.e. LCM of 136,8525 is 1159400.
GCF of Denominators means GCF of 378,214 as per the given fractions.
GCF of 378,214 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,8525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1159400
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 136,8525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,8525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,8525) x common factors =1 x 1 = 1
LCM(136,8525) = ( 136 × 8525 ) / 1
LCM(136,8525) = 1159400 / 1
LCM(136,8525) = 1159400
Lets's calculate GCF of 378,214
2 | 378, 214 |
189, 107 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1159400/2
Therefore the LCM of Fractions 136/378,8525/214 is 579700
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 378,214 . The biggest common factor number is the GCF number.
So the greatest common factor 378,214 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 136/378, 8525/214?
Answer: LCM of Numerators as per given numbers 136/378, 8525/214 is
LCM of Numerators i.e. for 136,8525 is 1159400
GCF of denominators i.e. for 378,214 is 2.
Thus, LCM of Fractions is 579700.Finally, LCM of Fractions for 136/378, 8525/214 is 579700.