Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 820/677, 699/289, 320/622 quickly i.e. 9170880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 820/677, 699/289, 320/622 is 9170880.
LCM(820/677, 699/289, 320/622) = 9170880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 820/677,699/289,320/622
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 820,699,320
Least Common Multiple of Numerators i.e. LCM of 820,699,320 is 9170880.
GCF of Denominators means GCF of 677,289,622 as per the given fractions.
GCF of 677,289,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 820,699,320
2 | 820, 699, 320 |
2 | 410, 699, 160 |
5 | 205, 699, 80 |
41, 699, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 699 x 16 = 9170880
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 820,699,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,699,320) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(820,699,320) x common factors =1 x 20 = 20
LCM(820,699,320) = ( 820 × 699 × 320 ) / 20
LCM(820,699,320) = 183417600 / 20
LCM(820,699,320) = 9170880
Lets's calculate GCF of 677,289,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9170880/1
Therefore the LCM of Fractions 820/677,699/289,320/622 is 9170880
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 677,289,622 . The biggest common factor number is the GCF number.
So the greatest common factor 677,289,622 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 820/677, 699/289, 320/622?
Answer: LCM of Numerators as per given numbers 820/677, 699/289, 320/622 is
LCM of Numerators i.e. for 820,699,320 is 9170880
GCF of denominators i.e. for 677,289,622 is 1.
Thus, LCM of Fractions is 9170880.Finally, LCM of Fractions for 820/677, 699/289, 320/622 is 9170880.