Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1880/510, 6504/204 quickly i.e. 1528440/102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1880/510, 6504/204 is 1528440/102.
LCM(1880/510, 6504/204) = 1528440/102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1880/510,6504/204
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 1880,6504
Least Common Multiple of Numerators i.e. LCM of 1880,6504 is 1528440.
GCF of Denominators means GCF of 510,204 as per the given fractions.
GCF of 510,204 is 102 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1880,6504
2 | 1880, 6504 |
2 | 940, 3252 |
2 | 470, 1626 |
235, 813 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 235 x 813 = 1528440
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 1880,6504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1880,6504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(1880,6504) x common factors =8 x 1 = 8
LCM(1880,6504) = ( 1880 × 6504 ) / 8
LCM(1880,6504) = 12227520 / 8
LCM(1880,6504) = 1528440
Lets's calculate GCF of 510,204
2 | 510, 204 |
3 | 255, 102 |
17 | 85, 34 |
5, 2 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528440/102
Therefore the LCM of Fractions 1880/510,6504/204 is 1528440/102
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 510,204 . The biggest common factor number is the GCF number.
So the greatest common factor 510,204 is 102.
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 1880/510, 6504/204?
Answer: LCM of Numerators as per given numbers 1880/510, 6504/204 is
LCM of Numerators i.e. for 1880,6504 is 1528440
GCF of denominators i.e. for 510,204 is 102.
Thus, LCM of Fractions is 1528440/102.Finally, LCM of Fractions for 1880/510, 6504/204 is 1528440/102.