Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/514, 844/646, 579/735 quickly i.e. 11239548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/514, 844/646, 579/735 is 11239548.
LCM(69/514, 844/646, 579/735) = 11239548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/514,844/646,579/735
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 69,844,579
Least Common Multiple of Numerators i.e. LCM of 69,844,579 is 11239548.
GCF of Denominators means GCF of 514,646,735 as per the given fractions.
GCF of 514,646,735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,844,579
3 | 69, 844, 579 |
23, 844, 193 |
∴ So the LCM of the given numbers is 3 x 23 x 844 x 193 = 11239548
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 69,844,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,844,579) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,844,579) x common factors =1 x 3 = 3
LCM(69,844,579) = ( 69 × 844 × 579 ) / 3
LCM(69,844,579) = 33718644 / 3
LCM(69,844,579) = 11239548
Lets's calculate GCF of 514,646,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11239548/1
Therefore the LCM of Fractions 69/514,844/646,579/735 is 11239548
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 514,646,735 . The biggest common factor number is the GCF number.
So the greatest common factor 514,646,735 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 69/514, 844/646, 579/735?
Answer: LCM of Numerators as per given numbers 69/514, 844/646, 579/735 is
LCM of Numerators i.e. for 69,844,579 is 11239548
GCF of denominators i.e. for 514,646,735 is 1.
Thus, LCM of Fractions is 11239548.Finally, LCM of Fractions for 69/514, 844/646, 579/735 is 11239548.