Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 372/27, 680/76, 460/260 quickly i.e. 1454520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 372/27, 680/76, 460/260 is 1454520.
LCM(372/27, 680/76, 460/260) = 1454520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 372/27,680/76,460/260
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 372,680,460
Least Common Multiple of Numerators i.e. LCM of 372,680,460 is 1454520.
GCF of Denominators means GCF of 27,76,260 as per the given fractions.
GCF of 27,76,260 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 372,680,460
2 | 372, 680, 460 |
2 | 186, 340, 230 |
5 | 93, 170, 115 |
93, 34, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 93 x 34 x 23 = 1454520
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 372,680,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,680,460) = 4
common factors(in case of two or more numbers have common factors) = 20
GCF(372,680,460) x common factors =4 x 20 = 80
LCM(372,680,460) = ( 372 × 680 × 460 ) / 80
LCM(372,680,460) = 116361600 / 80
LCM(372,680,460) = 1454520
Lets's calculate GCF of 27,76,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1454520/1
Therefore the LCM of Fractions 372/27,680/76,460/260 is 1454520
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 27,76,260 . The biggest common factor number is the GCF number.
So the greatest common factor 27,76,260 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 372/27, 680/76, 460/260?
Answer: LCM of Numerators as per given numbers 372/27, 680/76, 460/260 is
LCM of Numerators i.e. for 372,680,460 is 1454520
GCF of denominators i.e. for 27,76,260 is 1.
Thus, LCM of Fractions is 1454520.Finally, LCM of Fractions for 372/27, 680/76, 460/260 is 1454520.