Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/494, 28/469, 510/224 quickly i.e. 135660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/494, 28/469, 510/224 is 135660.
LCM(76/494, 28/469, 510/224) = 135660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/494,28/469,510/224
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 76,28,510
Least Common Multiple of Numerators i.e. LCM of 76,28,510 is 135660.
GCF of Denominators means GCF of 494,469,224 as per the given fractions.
GCF of 494,469,224 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,28,510
2 | 76, 28, 510 |
2 | 38, 14, 255 |
19, 7, 255 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 7 x 255 = 135660
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 76,28,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,28,510) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(76,28,510) x common factors =2 x 4 = 8
LCM(76,28,510) = ( 76 × 28 × 510 ) / 8
LCM(76,28,510) = 1085280 / 8
LCM(76,28,510) = 135660
Lets's calculate GCF of 494,469,224
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135660/1
Therefore the LCM of Fractions 76/494,28/469,510/224 is 135660
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 494,469,224 . The biggest common factor number is the GCF number.
So the greatest common factor 494,469,224 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 76/494, 28/469, 510/224?
Answer: LCM of Numerators as per given numbers 76/494, 28/469, 510/224 is
LCM of Numerators i.e. for 76,28,510 is 135660
GCF of denominators i.e. for 494,469,224 is 1.
Thus, LCM of Fractions is 135660.Finally, LCM of Fractions for 76/494, 28/469, 510/224 is 135660.