Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/39, 1/36, 2/40, 74/880 quickly i.e. 222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/39, 1/36, 2/40, 74/880 is 222.
LCM(6/39, 1/36, 2/40, 74/880) = 222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/39,1/36,2/40,74/880
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 6,1,2,74
Least Common Multiple of Numerators i.e. LCM of 6,1,2,74 is 222.
GCF of Denominators means GCF of 39,36,40,880 as per the given fractions.
GCF of 39,36,40,880 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,1,2,74
2 | 6, 1, 2, 74 |
3, 1, 1, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 37 = 222
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 6,1,2,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,1,2,74) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(6,1,2,74) x common factors =1 x 4 = 4
LCM(6,1,2,74) = ( 6 × 1 × 2 × 74 ) / 4
LCM(6,1,2,74) = 888 / 4
LCM(6,1,2,74) = 222
Lets's calculate GCF of 39,36,40,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 222/1
Therefore the LCM of Fractions 6/39,1/36,2/40,74/880 is 222
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 39,36,40,880 . The biggest common factor number is the GCF number.
So the greatest common factor 39,36,40,880 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 6/39, 1/36, 2/40, 74/880?
Answer: LCM of Numerators as per given numbers 6/39, 1/36, 2/40, 74/880 is
LCM of Numerators i.e. for 6,1,2,74 is 222
GCF of denominators i.e. for 39,36,40,880 is 1.
Thus, LCM of Fractions is 222.Finally, LCM of Fractions for 6/39, 1/36, 2/40, 74/880 is 222.