Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/82, 219/14, 304/730 quickly i.e. 565896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/82, 219/14, 304/730 is 565896.
LCM(51/82, 219/14, 304/730) = 565896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/82,219/14,304/730
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 51,219,304
Least Common Multiple of Numerators i.e. LCM of 51,219,304 is 1131792.
GCF of Denominators means GCF of 82,14,730 as per the given fractions.
GCF of 82,14,730 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,219,304
3 | 51, 219, 304 |
17, 73, 304 |
∴ So the LCM of the given numbers is 3 x 17 x 73 x 304 = 1131792
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 51,219,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,219,304) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,219,304) x common factors =1 x 3 = 3
LCM(51,219,304) = ( 51 × 219 × 304 ) / 3
LCM(51,219,304) = 3395376 / 3
LCM(51,219,304) = 1131792
Lets's calculate GCF of 82,14,730
2 | 82, 14, 730 |
41, 7, 365 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1131792/2
Therefore the LCM of Fractions 51/82,219/14,304/730 is 565896
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 82,14,730 . The biggest common factor number is the GCF number.
So the greatest common factor 82,14,730 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 51/82, 219/14, 304/730?
Answer: LCM of Numerators as per given numbers 51/82, 219/14, 304/730 is
LCM of Numerators i.e. for 51,219,304 is 1131792
GCF of denominators i.e. for 82,14,730 is 2.
Thus, LCM of Fractions is 565896.Finally, LCM of Fractions for 51/82, 219/14, 304/730 is 565896.