Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/487, 51/482, 476/941 quickly i.e. 1428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/487, 51/482, 476/941 is 1428.
LCM(21/487, 51/482, 476/941) = 1428
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/487,51/482,476/941
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 21,51,476
Least Common Multiple of Numerators i.e. LCM of 21,51,476 is 1428.
GCF of Denominators means GCF of 487,482,941 as per the given fractions.
GCF of 487,482,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,51,476
3 | 21, 51, 476 |
7 | 7, 17, 476 |
17 | 1, 17, 68 |
1, 1, 4 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 1 x 1 x 4 = 1428
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 21,51,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,51,476) = 1
common factors(in case of two or more numbers have common factors) = 357
GCF(21,51,476) x common factors =1 x 357 = 357
LCM(21,51,476) = ( 21 × 51 × 476 ) / 357
LCM(21,51,476) = 509796 / 357
LCM(21,51,476) = 1428
Lets's calculate GCF of 487,482,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428/1
Therefore the LCM of Fractions 21/487,51/482,476/941 is 1428
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 487,482,941 . The biggest common factor number is the GCF number.
So the greatest common factor 487,482,941 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 21/487, 51/482, 476/941?
Answer: LCM of Numerators as per given numbers 21/487, 51/482, 476/941 is
LCM of Numerators i.e. for 21,51,476 is 1428
GCF of denominators i.e. for 487,482,941 is 1.
Thus, LCM of Fractions is 1428.Finally, LCM of Fractions for 21/487, 51/482, 476/941 is 1428.