Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/851, 76/534, 683/369 quickly i.e. 311448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/851, 76/534, 683/369 is 311448.
LCM(24/851, 76/534, 683/369) = 311448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/851,76/534,683/369
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 24,76,683
Least Common Multiple of Numerators i.e. LCM of 24,76,683 is 311448.
GCF of Denominators means GCF of 851,534,369 as per the given fractions.
GCF of 851,534,369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,76,683
2 | 24, 76, 683 |
2 | 12, 38, 683 |
6, 19, 683 |
∴ So the LCM of the given numbers is 2 x 2 x 6 x 19 x 683 = 311448
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 24,76,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,76,683) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(24,76,683) x common factors =1 x 4 = 4
LCM(24,76,683) = ( 24 × 76 × 683 ) / 4
LCM(24,76,683) = 1245792 / 4
LCM(24,76,683) = 311448
Lets's calculate GCF of 851,534,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311448/1
Therefore the LCM of Fractions 24/851,76/534,683/369 is 311448
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 851,534,369 . The biggest common factor number is the GCF number.
So the greatest common factor 851,534,369 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 24/851, 76/534, 683/369?
Answer: LCM of Numerators as per given numbers 24/851, 76/534, 683/369 is
LCM of Numerators i.e. for 24,76,683 is 311448
GCF of denominators i.e. for 851,534,369 is 1.
Thus, LCM of Fractions is 311448.Finally, LCM of Fractions for 24/851, 76/534, 683/369 is 311448.