Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2812/335, 8410/465 quickly i.e. 2364892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2812/335, 8410/465 is 2364892.
LCM(2812/335, 8410/465) = 2364892
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2812/335,8410/465
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 2812,8410
Least Common Multiple of Numerators i.e. LCM of 2812,8410 is 11824460.
GCF of Denominators means GCF of 335,465 as per the given fractions.
GCF of 335,465 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2812,8410
2 | 2812, 8410 |
1406, 4205 |
∴ So the LCM of the given numbers is 2 x 1406 x 4205 = 11824460
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 2812,8410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2812,8410) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2812,8410) x common factors =2 x 1 = 2
LCM(2812,8410) = ( 2812 × 8410 ) / 2
LCM(2812,8410) = 23648920 / 2
LCM(2812,8410) = 11824460
Lets's calculate GCF of 335,465
5 | 335, 465 |
67, 93 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11824460/5
Therefore the LCM of Fractions 2812/335,8410/465 is 2364892
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 335,465 . The biggest common factor number is the GCF number.
So the greatest common factor 335,465 is 5.
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 2812/335, 8410/465?
Answer: LCM of Numerators as per given numbers 2812/335, 8410/465 is
LCM of Numerators i.e. for 2812,8410 is 11824460
GCF of denominators i.e. for 335,465 is 5.
Thus, LCM of Fractions is 2364892.Finally, LCM of Fractions for 2812/335, 8410/465 is 2364892.