Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 473/30, 754/91, 768/855 quickly i.e. 136950528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 473/30, 754/91, 768/855 is 136950528.
LCM(473/30, 754/91, 768/855) = 136950528
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 473/30,754/91,768/855
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 473,754,768
Least Common Multiple of Numerators i.e. LCM of 473,754,768 is 136950528.
GCF of Denominators means GCF of 30,91,855 as per the given fractions.
GCF of 30,91,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 473,754,768
2 | 473, 754, 768 |
473, 377, 384 |
∴ So the LCM of the given numbers is 2 x 473 x 377 x 384 = 136950528
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 473,754,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,754,768) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(473,754,768) x common factors =1 x 2 = 2
LCM(473,754,768) = ( 473 × 754 × 768 ) / 2
LCM(473,754,768) = 273901056 / 2
LCM(473,754,768) = 136950528
Lets's calculate GCF of 30,91,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136950528/1
Therefore the LCM of Fractions 473/30,754/91,768/855 is 136950528
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 30,91,855 . The biggest common factor number is the GCF number.
So the greatest common factor 30,91,855 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 473/30, 754/91, 768/855?
Answer: LCM of Numerators as per given numbers 473/30, 754/91, 768/855 is
LCM of Numerators i.e. for 473,754,768 is 136950528
GCF of denominators i.e. for 30,91,855 is 1.
Thus, LCM of Fractions is 136950528.Finally, LCM of Fractions for 473/30, 754/91, 768/855 is 136950528.