Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1738/508, 9693/302 quickly i.e. 8423217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1738/508, 9693/302 is 8423217.
LCM(1738/508, 9693/302) = 8423217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1738/508,9693/302
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 1738,9693
Least Common Multiple of Numerators i.e. LCM of 1738,9693 is 16846434.
GCF of Denominators means GCF of 508,302 as per the given fractions.
GCF of 508,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1738,9693
Given numbers has no common factors except 1. So, there LCM is their product i.e 16846434
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 1738,9693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1738,9693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1738,9693) x common factors =1 x 1 = 1
LCM(1738,9693) = ( 1738 × 9693 ) / 1
LCM(1738,9693) = 16846434 / 1
LCM(1738,9693) = 16846434
Lets's calculate GCF of 508,302
2 | 508, 302 |
254, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16846434/2
Therefore the LCM of Fractions 1738/508,9693/302 is 8423217
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 508,302 . The biggest common factor number is the GCF number.
So the greatest common factor 508,302 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 1738/508, 9693/302?
Answer: LCM of Numerators as per given numbers 1738/508, 9693/302 is
LCM of Numerators i.e. for 1738,9693 is 16846434
GCF of denominators i.e. for 508,302 is 2.
Thus, LCM of Fractions is 8423217.Finally, LCM of Fractions for 1738/508, 9693/302 is 8423217.