Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/68, 22/586, 985/499 quickly i.e. 823460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/68, 22/586, 985/499 is 823460.
LCM(76/68, 22/586, 985/499) = 823460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/68,22/586,985/499
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 76,22,985
Least Common Multiple of Numerators i.e. LCM of 76,22,985 is 823460.
GCF of Denominators means GCF of 68,586,499 as per the given fractions.
GCF of 68,586,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,22,985
2 | 76, 22, 985 |
38, 11, 985 |
∴ So the LCM of the given numbers is 2 x 38 x 11 x 985 = 823460
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 76,22,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,22,985) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,22,985) x common factors =1 x 2 = 2
LCM(76,22,985) = ( 76 × 22 × 985 ) / 2
LCM(76,22,985) = 1646920 / 2
LCM(76,22,985) = 823460
Lets's calculate GCF of 68,586,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 823460/1
Therefore the LCM of Fractions 76/68,22/586,985/499 is 823460
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 68,586,499 . The biggest common factor number is the GCF number.
So the greatest common factor 68,586,499 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 76/68, 22/586, 985/499?
Answer: LCM of Numerators as per given numbers 76/68, 22/586, 985/499 is
LCM of Numerators i.e. for 76,22,985 is 823460
GCF of denominators i.e. for 68,586,499 is 1.
Thus, LCM of Fractions is 823460.Finally, LCM of Fractions for 76/68, 22/586, 985/499 is 823460.