Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1697/924, 9469/598 quickly i.e. 16068893/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1697/924, 9469/598 is 16068893/2.
LCM(1697/924, 9469/598) = 16068893/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1697/924,9469/598
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 1697,9469
Least Common Multiple of Numerators i.e. LCM of 1697,9469 is 16068893.
GCF of Denominators means GCF of 924,598 as per the given fractions.
GCF of 924,598 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1697,9469
Given numbers has no common factors except 1. So, there LCM is their product i.e 16068893
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 1697,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1697,9469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1697,9469) x common factors =1 x 1 = 1
LCM(1697,9469) = ( 1697 × 9469 ) / 1
LCM(1697,9469) = 16068893 / 1
LCM(1697,9469) = 16068893
Lets's calculate GCF of 924,598
2 | 924, 598 |
462, 299 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16068893/2
Therefore the LCM of Fractions 1697/924,9469/598 is 16068893/2
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 924,598 . The biggest common factor number is the GCF number.
So the greatest common factor 924,598 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 1697/924, 9469/598?
Answer: LCM of Numerators as per given numbers 1697/924, 9469/598 is
LCM of Numerators i.e. for 1697,9469 is 16068893
GCF of denominators i.e. for 924,598 is 2.
Thus, LCM of Fractions is 16068893/2.Finally, LCM of Fractions for 1697/924, 9469/598 is 16068893/2.