Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 280/52, 603/6204 quickly i.e. 42210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 280/52, 603/6204 is 42210.
LCM(280/52, 603/6204) = 42210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 280/52,603/6204
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 280,603
Least Common Multiple of Numerators i.e. LCM of 280,603 is 168840.
GCF of Denominators means GCF of 52,6204 as per the given fractions.
GCF of 52,6204 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 280,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 168840
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 280,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,603) x common factors =1 x 1 = 1
LCM(280,603) = ( 280 × 603 ) / 1
LCM(280,603) = 168840 / 1
LCM(280,603) = 168840
Lets's calculate GCF of 52,6204
2 | 52, 6204 |
2 | 26, 3102 |
13, 1551 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168840/4
Therefore the LCM of Fractions 280/52,603/6204 is 42210
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 6204
List of positive integer factors of 6204 that divides 6204 without a remainder.
1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 52,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 52,6204 is 4.
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 280/52, 603/6204?
Answer: LCM of Numerators as per given numbers 280/52, 603/6204 is
LCM of Numerators i.e. for 280,603 is 168840
GCF of denominators i.e. for 52,6204 is 4.
Thus, LCM of Fractions is 42210.Finally, LCM of Fractions for 280/52, 603/6204 is 42210.