Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/185, 214/312 quickly i.e. 136746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/185, 214/312 is 136746.
LCM(639/185, 214/312) = 136746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/185,214/312
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 639,214
Least Common Multiple of Numerators i.e. LCM of 639,214 is 136746.
GCF of Denominators means GCF of 185,312 as per the given fractions.
GCF of 185,312 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 136746
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 639,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,214) x common factors =1 x 1 = 1
LCM(639,214) = ( 639 × 214 ) / 1
LCM(639,214) = 136746 / 1
LCM(639,214) = 136746
Lets's calculate GCF of 185,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136746/1
Therefore the LCM of Fractions 639/185,214/312 is 136746
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 185,312 . The biggest common factor number is the GCF number.
So the greatest common factor 185,312 is 1.
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 639/185, 214/312?
Answer: LCM of Numerators as per given numbers 639/185, 214/312 is
LCM of Numerators i.e. for 639,214 is 136746
GCF of denominators i.e. for 185,312 is 1.
Thus, LCM of Fractions is 136746.Finally, LCM of Fractions for 639/185, 214/312 is 136746.