Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/769, 607/892, 810/726 quickly i.e. 1966680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/769, 607/892, 810/726 is 1966680.
LCM(24/769, 607/892, 810/726) = 1966680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/769,607/892,810/726
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 24,607,810
Least Common Multiple of Numerators i.e. LCM of 24,607,810 is 1966680.
GCF of Denominators means GCF of 769,892,726 as per the given fractions.
GCF of 769,892,726 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,607,810
2 | 24, 607, 810 |
3 | 12, 607, 405 |
4, 607, 135 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 607 x 135 = 1966680
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 24,607,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,607,810) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(24,607,810) x common factors =1 x 6 = 6
LCM(24,607,810) = ( 24 × 607 × 810 ) / 6
LCM(24,607,810) = 11800080 / 6
LCM(24,607,810) = 1966680
Lets's calculate GCF of 769,892,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1966680/1
Therefore the LCM of Fractions 24/769,607/892,810/726 is 1966680
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 769,892,726 . The biggest common factor number is the GCF number.
So the greatest common factor 769,892,726 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 24/769, 607/892, 810/726?
Answer: LCM of Numerators as per given numbers 24/769, 607/892, 810/726 is
LCM of Numerators i.e. for 24,607,810 is 1966680
GCF of denominators i.e. for 769,892,726 is 1.
Thus, LCM of Fractions is 1966680.Finally, LCM of Fractions for 24/769, 607/892, 810/726 is 1966680.