Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9645/534, 1766/630 quickly i.e. 2838845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9645/534, 1766/630 is 2838845.
LCM(9645/534, 1766/630) = 2838845
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9645/534,1766/630
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 9645,1766
Least Common Multiple of Numerators i.e. LCM of 9645,1766 is 17033070.
GCF of Denominators means GCF of 534,630 as per the given fractions.
GCF of 534,630 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9645,1766
Given numbers has no common factors except 1. So, there LCM is their product i.e 17033070
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 9645,1766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9645,1766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9645,1766) x common factors =1 x 1 = 1
LCM(9645,1766) = ( 9645 × 1766 ) / 1
LCM(9645,1766) = 17033070 / 1
LCM(9645,1766) = 17033070
Lets's calculate GCF of 534,630
2 | 534, 630 |
3 | 267, 315 |
89, 105 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17033070/6
Therefore the LCM of Fractions 9645/534,1766/630 is 2838845
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
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 534,630 . The biggest common factor number is the GCF number.
So the greatest common factor 534,630 is 6.
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 9645/534, 1766/630?
Answer: LCM of Numerators as per given numbers 9645/534, 1766/630 is
LCM of Numerators i.e. for 9645,1766 is 17033070
GCF of denominators i.e. for 534,630 is 6.
Thus, LCM of Fractions is 2838845.Finally, LCM of Fractions for 9645/534, 1766/630 is 2838845.