Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/410, 15/429, 222/630 quickly i.e. 5550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/410, 15/429, 222/630 is 5550.
LCM(25/410, 15/429, 222/630) = 5550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/410,15/429,222/630
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 25,15,222
Least Common Multiple of Numerators i.e. LCM of 25,15,222 is 5550.
GCF of Denominators means GCF of 410,429,630 as per the given fractions.
GCF of 410,429,630 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,15,222
3 | 25, 15, 222 |
5 | 25, 5, 74 |
1, 5, 74 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 5 x 74 = 5550
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 25,15,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,15,222) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(25,15,222) x common factors =1 x 15 = 15
LCM(25,15,222) = ( 25 × 15 × 222 ) / 15
LCM(25,15,222) = 83250 / 15
LCM(25,15,222) = 5550
Lets's calculate GCF of 410,429,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5550/1
Therefore the LCM of Fractions 25/410,15/429,222/630 is 5550
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 410,429,630 . The biggest common factor number is the GCF number.
So the greatest common factor 410,429,630 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 25/410, 15/429, 222/630?
Answer: LCM of Numerators as per given numbers 25/410, 15/429, 222/630 is
LCM of Numerators i.e. for 25,15,222 is 5550
GCF of denominators i.e. for 410,429,630 is 1.
Thus, LCM of Fractions is 5550.Finally, LCM of Fractions for 25/410, 15/429, 222/630 is 5550.