Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/500, 429/236, 655/410 quickly i.e. 2247960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/500, 429/236, 655/410 is 2247960.
LCM(80/500, 429/236, 655/410) = 2247960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/500,429/236,655/410
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 80,429,655
Least Common Multiple of Numerators i.e. LCM of 80,429,655 is 4495920.
GCF of Denominators means GCF of 500,236,410 as per the given fractions.
GCF of 500,236,410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,429,655
5 | 80, 429, 655 |
16, 429, 131 |
∴ So the LCM of the given numbers is 5 x 16 x 429 x 131 = 4495920
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 80,429,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,429,655) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(80,429,655) x common factors =1 x 5 = 5
LCM(80,429,655) = ( 80 × 429 × 655 ) / 5
LCM(80,429,655) = 22479600 / 5
LCM(80,429,655) = 4495920
Lets's calculate GCF of 500,236,410
2 | 500, 236, 410 |
250, 118, 205 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4495920/2
Therefore the LCM of Fractions 80/500,429/236,655/410 is 2247960
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 500,236,410 . The biggest common factor number is the GCF number.
So the greatest common factor 500,236,410 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 80/500, 429/236, 655/410?
Answer: LCM of Numerators as per given numbers 80/500, 429/236, 655/410 is
LCM of Numerators i.e. for 80,429,655 is 4495920
GCF of denominators i.e. for 500,236,410 is 2.
Thus, LCM of Fractions is 2247960.Finally, LCM of Fractions for 80/500, 429/236, 655/410 is 2247960.