Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1761/528, 3564/380 quickly i.e. 523017 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1761/528, 3564/380 is 523017.
LCM(1761/528, 3564/380) = 523017
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1761/528,3564/380
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 1761,3564
Least Common Multiple of Numerators i.e. LCM of 1761,3564 is 2092068.
GCF of Denominators means GCF of 528,380 as per the given fractions.
GCF of 528,380 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1761,3564
3 | 1761, 3564 |
587, 1188 |
∴ So the LCM of the given numbers is 3 x 587 x 1188 = 2092068
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 1761,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1761,3564) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1761,3564) x common factors =3 x 1 = 3
LCM(1761,3564) = ( 1761 × 3564 ) / 3
LCM(1761,3564) = 6276204 / 3
LCM(1761,3564) = 2092068
Lets's calculate GCF of 528,380
2 | 528, 380 |
2 | 264, 190 |
132, 95 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2092068/4
Therefore the LCM of Fractions 1761/528,3564/380 is 523017
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 528,380 . The biggest common factor number is the GCF number.
So the greatest common factor 528,380 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 1761/528, 3564/380?
Answer: LCM of Numerators as per given numbers 1761/528, 3564/380 is
LCM of Numerators i.e. for 1761,3564 is 2092068
GCF of denominators i.e. for 528,380 is 4.
Thus, LCM of Fractions is 523017.Finally, LCM of Fractions for 1761/528, 3564/380 is 523017.