Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/650, 302/118, 410/630 quickly i.e. 1021515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/650, 302/118, 410/630 is 1021515.
LCM(66/650, 302/118, 410/630) = 1021515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/650,302/118,410/630
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 66,302,410
Least Common Multiple of Numerators i.e. LCM of 66,302,410 is 2043030.
GCF of Denominators means GCF of 650,118,630 as per the given fractions.
GCF of 650,118,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,302,410
2 | 66, 302, 410 |
33, 151, 205 |
∴ So the LCM of the given numbers is 2 x 33 x 151 x 205 = 2043030
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 66,302,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,302,410) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(66,302,410) x common factors =2 x 2 = 4
LCM(66,302,410) = ( 66 × 302 × 410 ) / 4
LCM(66,302,410) = 8172120 / 4
LCM(66,302,410) = 2043030
Lets's calculate GCF of 650,118,630
2 | 650, 118, 630 |
325, 59, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2043030/2
Therefore the LCM of Fractions 66/650,302/118,410/630 is 1021515
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
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 650,118,630 . The biggest common factor number is the GCF number.
So the greatest common factor 650,118,630 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 66/650, 302/118, 410/630?
Answer: LCM of Numerators as per given numbers 66/650, 302/118, 410/630 is
LCM of Numerators i.e. for 66,302,410 is 2043030
GCF of denominators i.e. for 650,118,630 is 2.
Thus, LCM of Fractions is 1021515.Finally, LCM of Fractions for 66/650, 302/118, 410/630 is 1021515.