Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/30, 70/85, 91/99, 35/479 quickly i.e. 28210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/30, 70/85, 91/99, 35/479 is 28210.
LCM(62/30, 70/85, 91/99, 35/479) = 28210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/30,70/85,91/99,35/479
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 62,70,91,35
Least Common Multiple of Numerators i.e. LCM of 62,70,91,35 is 28210.
GCF of Denominators means GCF of 30,85,99,479 as per the given fractions.
GCF of 30,85,99,479 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,70,91,35
2 | 62, 70, 91, 35 |
5 | 31, 35, 91, 35 |
7 | 31, 7, 91, 7 |
31, 1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 31 x 1 x 13 x 1 = 28210
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 62,70,91,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,70,91,35) = 1
common factors(in case of two or more numbers have common factors) = 490
GCF(62,70,91,35) x common factors =1 x 490 = 490
LCM(62,70,91,35) = ( 62 × 70 × 91 × 35 ) / 490
LCM(62,70,91,35) = 13822900 / 490
LCM(62,70,91,35) = 28210
Lets's calculate GCF of 30,85,99,479
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28210/1
Therefore the LCM of Fractions 62/30,70/85,91/99,35/479 is 28210
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Greatest Common Factor
We found the factors 30,85,99,479 . The biggest common factor number is the GCF number.
So the greatest common factor 30,85,99,479 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 62/30, 70/85, 91/99, 35/479?
Answer: LCM of Numerators as per given numbers 62/30, 70/85, 91/99, 35/479 is
LCM of Numerators i.e. for 62,70,91,35 is 28210
GCF of denominators i.e. for 30,85,99,479 is 1.
Thus, LCM of Fractions is 28210.Finally, LCM of Fractions for 62/30, 70/85, 91/99, 35/479 is 28210.