Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/905, 49/627, 520/621 quickly i.e. 152880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/905, 49/627, 520/621 is 152880.
LCM(48/905, 49/627, 520/621) = 152880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/905,49/627,520/621
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 48,49,520
Least Common Multiple of Numerators i.e. LCM of 48,49,520 is 152880.
GCF of Denominators means GCF of 905,627,621 as per the given fractions.
GCF of 905,627,621 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,49,520
2 | 48, 49, 520 |
2 | 24, 49, 260 |
2 | 12, 49, 130 |
6, 49, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 49 x 65 = 152880
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 48,49,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,49,520) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(48,49,520) x common factors =1 x 8 = 8
LCM(48,49,520) = ( 48 × 49 × 520 ) / 8
LCM(48,49,520) = 1223040 / 8
LCM(48,49,520) = 152880
Lets's calculate GCF of 905,627,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152880/1
Therefore the LCM of Fractions 48/905,49/627,520/621 is 152880
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 905,627,621 . The biggest common factor number is the GCF number.
So the greatest common factor 905,627,621 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 48/905, 49/627, 520/621?
Answer: LCM of Numerators as per given numbers 48/905, 49/627, 520/621 is
LCM of Numerators i.e. for 48,49,520 is 152880
GCF of denominators i.e. for 905,627,621 is 1.
Thus, LCM of Fractions is 152880.Finally, LCM of Fractions for 48/905, 49/627, 520/621 is 152880.