Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1299/385, 5660/4165 quickly i.e. 7352340/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1299/385, 5660/4165 is 7352340/35.
LCM(1299/385, 5660/4165) = 7352340/35
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1299/385,5660/4165
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 1299,5660
Least Common Multiple of Numerators i.e. LCM of 1299,5660 is 7352340.
GCF of Denominators means GCF of 385,4165 as per the given fractions.
GCF of 385,4165 is 35 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1299,5660
Given numbers has no common factors except 1. So, there LCM is their product i.e 7352340
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 1299,5660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1299,5660) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1299,5660) x common factors =1 x 1 = 1
LCM(1299,5660) = ( 1299 × 5660 ) / 1
LCM(1299,5660) = 7352340 / 1
LCM(1299,5660) = 7352340
Lets's calculate GCF of 385,4165
5 | 385, 4165 |
7 | 77, 833 |
11, 119 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7352340/35
Therefore the LCM of Fractions 1299/385,5660/4165 is 7352340/35
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 4165
List of positive integer factors of 4165 that divides 4165 without a remainder.
1,5,7,17,35,49,85,119,245,595,833,4165
Greatest Common Factor
We found the factors 385,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 385,4165 is 35.
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 1299/385, 5660/4165?
Answer: LCM of Numerators as per given numbers 1299/385, 5660/4165 is
LCM of Numerators i.e. for 1299,5660 is 7352340
GCF of denominators i.e. for 385,4165 is 35.
Thus, LCM of Fractions is 7352340/35.Finally, LCM of Fractions for 1299/385, 5660/4165 is 7352340/35.