Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/916, 41/114, 540/504 quickly i.e. 77490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/916, 41/114, 540/504 is 77490.
LCM(21/916, 41/114, 540/504) = 77490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/916,41/114,540/504
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 21,41,540
Least Common Multiple of Numerators i.e. LCM of 21,41,540 is 154980.
GCF of Denominators means GCF of 916,114,504 as per the given fractions.
GCF of 916,114,504 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,41,540
3 | 21, 41, 540 |
7, 41, 180 |
∴ So the LCM of the given numbers is 3 x 7 x 41 x 180 = 154980
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 21,41,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,41,540) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,41,540) x common factors =1 x 3 = 3
LCM(21,41,540) = ( 21 × 41 × 540 ) / 3
LCM(21,41,540) = 464940 / 3
LCM(21,41,540) = 154980
Lets's calculate GCF of 916,114,504
2 | 916, 114, 504 |
458, 57, 252 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154980/2
Therefore the LCM of Fractions 21/916,41/114,540/504 is 77490
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 916,114,504 . The biggest common factor number is the GCF number.
So the greatest common factor 916,114,504 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 21/916, 41/114, 540/504?
Answer: LCM of Numerators as per given numbers 21/916, 41/114, 540/504 is
LCM of Numerators i.e. for 21,41,540 is 154980
GCF of denominators i.e. for 916,114,504 is 2.
Thus, LCM of Fractions is 77490.Finally, LCM of Fractions for 21/916, 41/114, 540/504 is 77490.