Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/969, 19/492, 824/464 quickly i.e. 15656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/969, 19/492, 824/464 is 15656.
LCM(76/969, 19/492, 824/464) = 15656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/969,19/492,824/464
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 76,19,824
Least Common Multiple of Numerators i.e. LCM of 76,19,824 is 15656.
GCF of Denominators means GCF of 969,492,464 as per the given fractions.
GCF of 969,492,464 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,19,824
2 | 76, 19, 824 |
2 | 38, 19, 412 |
19 | 19, 19, 206 |
1, 1, 206 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 1 x 206 = 15656
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 76,19,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,19,824) = 1
common factors(in case of two or more numbers have common factors) = 76
GCF(76,19,824) x common factors =1 x 76 = 76
LCM(76,19,824) = ( 76 × 19 × 824 ) / 76
LCM(76,19,824) = 1189856 / 76
LCM(76,19,824) = 15656
Lets's calculate GCF of 969,492,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15656/1
Therefore the LCM of Fractions 76/969,19/492,824/464 is 15656
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 969,492,464 . The biggest common factor number is the GCF number.
So the greatest common factor 969,492,464 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 76/969, 19/492, 824/464?
Answer: LCM of Numerators as per given numbers 76/969, 19/492, 824/464 is
LCM of Numerators i.e. for 76,19,824 is 15656
GCF of denominators i.e. for 969,492,464 is 1.
Thus, LCM of Fractions is 15656.Finally, LCM of Fractions for 76/969, 19/492, 824/464 is 15656.