Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/24, 979/76, 691/24 quickly i.e. 133268333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/24, 979/76, 691/24 is 133268333.
LCM(788/24, 979/76, 691/24) = 133268333
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/24,979/76,691/24
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 788,979,691
Least Common Multiple of Numerators i.e. LCM of 788,979,691 is 533073332.
GCF of Denominators means GCF of 24,76,24 as per the given fractions.
GCF of 24,76,24 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,979,691
Given numbers has no common factors except 1. So, there LCM is their product i.e 533073332
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 788,979,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,979,691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,979,691) x common factors =1 x 1 = 1
LCM(788,979,691) = ( 788 × 979 × 691 ) / 1
LCM(788,979,691) = 533073332 / 1
LCM(788,979,691) = 533073332
Lets's calculate GCF of 24,76,24
2 | 24, 76, 24 |
2 | 12, 38, 12 |
6, 19, 6 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 533073332/4
Therefore the LCM of Fractions 788/24,979/76,691/24 is 133268333
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 24,76,24 . The biggest common factor number is the GCF number.
So the greatest common factor 24,76,24 is 4.
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 788/24, 979/76, 691/24?
Answer: LCM of Numerators as per given numbers 788/24, 979/76, 691/24 is
LCM of Numerators i.e. for 788,979,691 is 533073332
GCF of denominators i.e. for 24,76,24 is 4.
Thus, LCM of Fractions is 133268333.Finally, LCM of Fractions for 788/24, 979/76, 691/24 is 133268333.