Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/476, 830/778, 797/642 quickly i.e. 74750630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/476, 830/778, 797/642 is 74750630.
LCM(452/476, 830/778, 797/642) = 74750630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/476,830/778,797/642
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 452,830,797
Least Common Multiple of Numerators i.e. LCM of 452,830,797 is 149501260.
GCF of Denominators means GCF of 476,778,642 as per the given fractions.
GCF of 476,778,642 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,830,797
2 | 452, 830, 797 |
226, 415, 797 |
∴ So the LCM of the given numbers is 2 x 226 x 415 x 797 = 149501260
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 452,830,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,830,797) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(452,830,797) x common factors =1 x 2 = 2
LCM(452,830,797) = ( 452 × 830 × 797 ) / 2
LCM(452,830,797) = 299002520 / 2
LCM(452,830,797) = 149501260
Lets's calculate GCF of 476,778,642
2 | 476, 778, 642 |
238, 389, 321 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149501260/2
Therefore the LCM of Fractions 452/476,830/778,797/642 is 74750630
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 476,778,642 . The biggest common factor number is the GCF number.
So the greatest common factor 476,778,642 is 2.
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 452/476, 830/778, 797/642?
Answer: LCM of Numerators as per given numbers 452/476, 830/778, 797/642 is
LCM of Numerators i.e. for 452,830,797 is 149501260
GCF of denominators i.e. for 476,778,642 is 2.
Thus, LCM of Fractions is 74750630.Finally, LCM of Fractions for 452/476, 830/778, 797/642 is 74750630.