Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/190, 810/764, 702/215 quickly i.e. 115830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/190, 810/764, 702/215 is 115830.
LCM(99/190, 810/764, 702/215) = 115830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/190,810/764,702/215
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 99,810,702
Least Common Multiple of Numerators i.e. LCM of 99,810,702 is 115830.
GCF of Denominators means GCF of 190,764,215 as per the given fractions.
GCF of 190,764,215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,810,702
2 | 99, 810, 702 |
3 | 99, 405, 351 |
3 | 33, 135, 117 |
3 | 11, 45, 39 |
11, 15, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 11 x 15 x 13 = 115830
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 99,810,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,810,702) = 9
common factors(in case of two or more numbers have common factors) = 54
GCF(99,810,702) x common factors =9 x 54 = 486
LCM(99,810,702) = ( 99 × 810 × 702 ) / 486
LCM(99,810,702) = 56293380 / 486
LCM(99,810,702) = 115830
Lets's calculate GCF of 190,764,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115830/1
Therefore the LCM of Fractions 99/190,810/764,702/215 is 115830
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Greatest Common Factor
We found the factors 190,764,215 . The biggest common factor number is the GCF number.
So the greatest common factor 190,764,215 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 99/190, 810/764, 702/215?
Answer: LCM of Numerators as per given numbers 99/190, 810/764, 702/215 is
LCM of Numerators i.e. for 99,810,702 is 115830
GCF of denominators i.e. for 190,764,215 is 1.
Thus, LCM of Fractions is 115830.Finally, LCM of Fractions for 99/190, 810/764, 702/215 is 115830.