Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/98, 62/776, 886/868 quickly i.e. 590519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/98, 62/776, 886/868 is 590519.
LCM(86/98, 62/776, 886/868) = 590519
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/98,62/776,886/868
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 86,62,886
Least Common Multiple of Numerators i.e. LCM of 86,62,886 is 1181038.
GCF of Denominators means GCF of 98,776,868 as per the given fractions.
GCF of 98,776,868 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,62,886
2 | 86, 62, 886 |
43, 31, 443 |
∴ So the LCM of the given numbers is 2 x 43 x 31 x 443 = 1181038
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 86,62,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,62,886) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,62,886) x common factors =2 x 2 = 4
LCM(86,62,886) = ( 86 × 62 × 886 ) / 4
LCM(86,62,886) = 4724152 / 4
LCM(86,62,886) = 1181038
Lets's calculate GCF of 98,776,868
2 | 98, 776, 868 |
49, 388, 434 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1181038/2
Therefore the LCM of Fractions 86/98,62/776,886/868 is 590519
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 98,776,868 . The biggest common factor number is the GCF number.
So the greatest common factor 98,776,868 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 86/98, 62/776, 886/868?
Answer: LCM of Numerators as per given numbers 86/98, 62/776, 886/868 is
LCM of Numerators i.e. for 86,62,886 is 1181038
GCF of denominators i.e. for 98,776,868 is 2.
Thus, LCM of Fractions is 590519.Finally, LCM of Fractions for 86/98, 62/776, 886/868 is 590519.