Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4385/735, 6453/9272 quickly i.e. 28296405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4385/735, 6453/9272 is 28296405.
LCM(4385/735, 6453/9272) = 28296405
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4385/735,6453/9272
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 4385,6453
Least Common Multiple of Numerators i.e. LCM of 4385,6453 is 28296405.
GCF of Denominators means GCF of 735,9272 as per the given fractions.
GCF of 735,9272 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4385,6453
Given numbers has no common factors except 1. So, there LCM is their product i.e 28296405
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 4385,6453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4385,6453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4385,6453) x common factors =1 x 1 = 1
LCM(4385,6453) = ( 4385 × 6453 ) / 1
LCM(4385,6453) = 28296405 / 1
LCM(4385,6453) = 28296405
Lets's calculate GCF of 735,9272
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28296405/1
Therefore the LCM of Fractions 4385/735,6453/9272 is 28296405
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 9272
List of positive integer factors of 9272 that divides 9272 without a remainder.
1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Greatest Common Factor
We found the factors 735,9272 . The biggest common factor number is the GCF number.
So the greatest common factor 735,9272 is 1.
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 4385/735, 6453/9272?
Answer: LCM of Numerators as per given numbers 4385/735, 6453/9272 is
LCM of Numerators i.e. for 4385,6453 is 28296405
GCF of denominators i.e. for 735,9272 is 1.
Thus, LCM of Fractions is 28296405.Finally, LCM of Fractions for 4385/735, 6453/9272 is 28296405.