Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 620/51, 465/24, 176/30 quickly i.e. 27280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 620/51, 465/24, 176/30 is 27280.
LCM(620/51, 465/24, 176/30) = 27280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 620/51,465/24,176/30
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 620,465,176
Least Common Multiple of Numerators i.e. LCM of 620,465,176 is 81840.
GCF of Denominators means GCF of 51,24,30 as per the given fractions.
GCF of 51,24,30 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 620,465,176
2 | 620, 465, 176 |
2 | 310, 465, 88 |
5 | 155, 465, 44 |
31 | 31, 93, 44 |
1, 3, 44 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 1 x 3 x 44 = 81840
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 620,465,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,465,176) = 1
common factors(in case of two or more numbers have common factors) = 620
GCF(620,465,176) x common factors =1 x 620 = 620
LCM(620,465,176) = ( 620 × 465 × 176 ) / 620
LCM(620,465,176) = 50740800 / 620
LCM(620,465,176) = 81840
Lets's calculate GCF of 51,24,30
3 | 51, 24, 30 |
17, 8, 10 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81840/3
Therefore the LCM of Fractions 620/51,465/24,176/30 is 27280
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Greatest Common Factor
We found the factors 51,24,30 . The biggest common factor number is the GCF number.
So the greatest common factor 51,24,30 is 3.
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 620/51, 465/24, 176/30?
Answer: LCM of Numerators as per given numbers 620/51, 465/24, 176/30 is
LCM of Numerators i.e. for 620,465,176 is 81840
GCF of denominators i.e. for 51,24,30 is 3.
Thus, LCM of Fractions is 27280.Finally, LCM of Fractions for 620/51, 465/24, 176/30 is 27280.