Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 996/71, 222/59, 690/256 quickly i.e. 4237980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 996/71, 222/59, 690/256 is 4237980.
LCM(996/71, 222/59, 690/256) = 4237980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 996/71,222/59,690/256
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 996,222,690
Least Common Multiple of Numerators i.e. LCM of 996,222,690 is 4237980.
GCF of Denominators means GCF of 71,59,256 as per the given fractions.
GCF of 71,59,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 996,222,690
2 | 996, 222, 690 |
3 | 498, 111, 345 |
166, 37, 115 |
∴ So the LCM of the given numbers is 2 x 3 x 166 x 37 x 115 = 4237980
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 996,222,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,222,690) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(996,222,690) x common factors =6 x 6 = 36
LCM(996,222,690) = ( 996 × 222 × 690 ) / 36
LCM(996,222,690) = 152567280 / 36
LCM(996,222,690) = 4237980
Lets's calculate GCF of 71,59,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4237980/1
Therefore the LCM of Fractions 996/71,222/59,690/256 is 4237980
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 71,59,256 . The biggest common factor number is the GCF number.
So the greatest common factor 71,59,256 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 996/71, 222/59, 690/256?
Answer: LCM of Numerators as per given numbers 996/71, 222/59, 690/256 is
LCM of Numerators i.e. for 996,222,690 is 4237980
GCF of denominators i.e. for 71,59,256 is 1.
Thus, LCM of Fractions is 4237980.Finally, LCM of Fractions for 996/71, 222/59, 690/256 is 4237980.