Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/881, 279/651, 886/988 quickly i.e. 17550774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/881, 279/651, 886/988 is 17550774.
LCM(71/881, 279/651, 886/988) = 17550774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/881,279/651,886/988
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 71,279,886
Least Common Multiple of Numerators i.e. LCM of 71,279,886 is 17550774.
GCF of Denominators means GCF of 881,651,988 as per the given fractions.
GCF of 881,651,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,279,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 17550774
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 71,279,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,279,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,279,886) x common factors =1 x 1 = 1
LCM(71,279,886) = ( 71 × 279 × 886 ) / 1
LCM(71,279,886) = 17550774 / 1
LCM(71,279,886) = 17550774
Lets's calculate GCF of 881,651,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17550774/1
Therefore the LCM of Fractions 71/881,279/651,886/988 is 17550774
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 881,651,988 . The biggest common factor number is the GCF number.
So the greatest common factor 881,651,988 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 71/881, 279/651, 886/988?
Answer: LCM of Numerators as per given numbers 71/881, 279/651, 886/988 is
LCM of Numerators i.e. for 71,279,886 is 17550774
GCF of denominators i.e. for 881,651,988 is 1.
Thus, LCM of Fractions is 17550774.Finally, LCM of Fractions for 71/881, 279/651, 886/988 is 17550774.