Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/552, 1402/572 quickly i.e. 35751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/552, 1402/572 is 35751.
LCM(204/552, 1402/572) = 35751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/552,1402/572
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 204,1402
Least Common Multiple of Numerators i.e. LCM of 204,1402 is 143004.
GCF of Denominators means GCF of 552,572 as per the given fractions.
GCF of 552,572 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,1402
2 | 204, 1402 |
102, 701 |
∴ So the LCM of the given numbers is 2 x 102 x 701 = 143004
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 204,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1402) x common factors =2 x 1 = 2
LCM(204,1402) = ( 204 × 1402 ) / 2
LCM(204,1402) = 286008 / 2
LCM(204,1402) = 143004
Lets's calculate GCF of 552,572
2 | 552, 572 |
2 | 276, 286 |
138, 143 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143004/4
Therefore the LCM of Fractions 204/552,1402/572 is 35751
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 552,572 . The biggest common factor number is the GCF number.
So the greatest common factor 552,572 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 204/552, 1402/572?
Answer: LCM of Numerators as per given numbers 204/552, 1402/572 is
LCM of Numerators i.e. for 204,1402 is 143004
GCF of denominators i.e. for 552,572 is 4.
Thus, LCM of Fractions is 35751.Finally, LCM of Fractions for 204/552, 1402/572 is 35751.