Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 727/695, 255/452, 480/546 quickly i.e. 5932320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 727/695, 255/452, 480/546 is 5932320.
LCM(727/695, 255/452, 480/546) = 5932320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 727/695,255/452,480/546
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 727,255,480
Least Common Multiple of Numerators i.e. LCM of 727,255,480 is 5932320.
GCF of Denominators means GCF of 695,452,546 as per the given fractions.
GCF of 695,452,546 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 727,255,480
3 | 727, 255, 480 |
5 | 727, 85, 160 |
727, 17, 32 |
∴ So the LCM of the given numbers is 3 x 5 x 727 x 17 x 32 = 5932320
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 727,255,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,255,480) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(727,255,480) x common factors =1 x 15 = 15
LCM(727,255,480) = ( 727 × 255 × 480 ) / 15
LCM(727,255,480) = 88984800 / 15
LCM(727,255,480) = 5932320
Lets's calculate GCF of 695,452,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5932320/1
Therefore the LCM of Fractions 727/695,255/452,480/546 is 5932320
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 695,452,546 . The biggest common factor number is the GCF number.
So the greatest common factor 695,452,546 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 727/695, 255/452, 480/546?
Answer: LCM of Numerators as per given numbers 727/695, 255/452, 480/546 is
LCM of Numerators i.e. for 727,255,480 is 5932320
GCF of denominators i.e. for 695,452,546 is 1.
Thus, LCM of Fractions is 5932320.Finally, LCM of Fractions for 727/695, 255/452, 480/546 is 5932320.