Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/627, 946/902, 280/599 quickly i.e. 7019320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/627, 946/902, 280/599 is 7019320.
LCM(53/627, 946/902, 280/599) = 7019320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/627,946/902,280/599
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 53,946,280
Least Common Multiple of Numerators i.e. LCM of 53,946,280 is 7019320.
GCF of Denominators means GCF of 627,902,599 as per the given fractions.
GCF of 627,902,599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,946,280
2 | 53, 946, 280 |
53, 473, 140 |
∴ So the LCM of the given numbers is 2 x 53 x 473 x 140 = 7019320
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 53,946,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,946,280) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,946,280) x common factors =1 x 2 = 2
LCM(53,946,280) = ( 53 × 946 × 280 ) / 2
LCM(53,946,280) = 14038640 / 2
LCM(53,946,280) = 7019320
Lets's calculate GCF of 627,902,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7019320/1
Therefore the LCM of Fractions 53/627,946/902,280/599 is 7019320
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 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Greatest Common Factor
We found the factors 627,902,599 . The biggest common factor number is the GCF number.
So the greatest common factor 627,902,599 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 53/627, 946/902, 280/599?
Answer: LCM of Numerators as per given numbers 53/627, 946/902, 280/599 is
LCM of Numerators i.e. for 53,946,280 is 7019320
GCF of denominators i.e. for 627,902,599 is 1.
Thus, LCM of Fractions is 7019320.Finally, LCM of Fractions for 53/627, 946/902, 280/599 is 7019320.