Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 369/548, 3066/630 quickly i.e. 188559 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 369/548, 3066/630 is 188559.
LCM(369/548, 3066/630) = 188559
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 369/548,3066/630
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 369,3066
Least Common Multiple of Numerators i.e. LCM of 369,3066 is 377118.
GCF of Denominators means GCF of 548,630 as per the given fractions.
GCF of 548,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 369,3066
3 | 369, 3066 |
123, 1022 |
∴ So the LCM of the given numbers is 3 x 123 x 1022 = 377118
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 369,3066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,3066) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,3066) x common factors =3 x 1 = 3
LCM(369,3066) = ( 369 × 3066 ) / 3
LCM(369,3066) = 1131354 / 3
LCM(369,3066) = 377118
Lets's calculate GCF of 548,630
2 | 548, 630 |
274, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377118/2
Therefore the LCM of Fractions 369/548,3066/630 is 188559
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 548,630 . The biggest common factor number is the GCF number.
So the greatest common factor 548,630 is 2.
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 369/548, 3066/630?
Answer: LCM of Numerators as per given numbers 369/548, 3066/630 is
LCM of Numerators i.e. for 369,3066 is 377118
GCF of denominators i.e. for 548,630 is 2.
Thus, LCM of Fractions is 188559.Finally, LCM of Fractions for 369/548, 3066/630 is 188559.