Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/318, 9922/220 quickly i.e. 3170079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/318, 9922/220 is 3170079.
LCM(639/318, 9922/220) = 3170079
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/318,9922/220
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 639,9922
Least Common Multiple of Numerators i.e. LCM of 639,9922 is 6340158.
GCF of Denominators means GCF of 318,220 as per the given fractions.
GCF of 318,220 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,9922
Given numbers has no common factors except 1. So, there LCM is their product i.e 6340158
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 639,9922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,9922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,9922) x common factors =1 x 1 = 1
LCM(639,9922) = ( 639 × 9922 ) / 1
LCM(639,9922) = 6340158 / 1
LCM(639,9922) = 6340158
Lets's calculate GCF of 318,220
2 | 318, 220 |
159, 110 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6340158/2
Therefore the LCM of Fractions 639/318,9922/220 is 3170079
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 318,220 . The biggest common factor number is the GCF number.
So the greatest common factor 318,220 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 639/318, 9922/220?
Answer: LCM of Numerators as per given numbers 639/318, 9922/220 is
LCM of Numerators i.e. for 639,9922 is 6340158
GCF of denominators i.e. for 318,220 is 2.
Thus, LCM of Fractions is 3170079.Finally, LCM of Fractions for 639/318, 9922/220 is 3170079.