Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/411, 858/870, 637/570 quickly i.e. 14014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/411, 858/870, 637/570 is 14014.
LCM(22/411, 858/870, 637/570) = 14014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/411,858/870,637/570
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 22,858,637
Least Common Multiple of Numerators i.e. LCM of 22,858,637 is 42042.
GCF of Denominators means GCF of 411,870,570 as per the given fractions.
GCF of 411,870,570 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,858,637
2 | 22, 858, 637 |
11 | 11, 429, 637 |
13 | 1, 39, 637 |
1, 3, 49 |
∴ So the LCM of the given numbers is 2 x 11 x 13 x 1 x 3 x 49 = 42042
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 22,858,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,858,637) = 1
common factors(in case of two or more numbers have common factors) = 286
GCF(22,858,637) x common factors =1 x 286 = 286
LCM(22,858,637) = ( 22 × 858 × 637 ) / 286
LCM(22,858,637) = 12024012 / 286
LCM(22,858,637) = 42042
Lets's calculate GCF of 411,870,570
3 | 411, 870, 570 |
137, 290, 190 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42042/3
Therefore the LCM of Fractions 22/411,858/870,637/570 is 14014
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 411,870,570 . The biggest common factor number is the GCF number.
So the greatest common factor 411,870,570 is 3.
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 22/411, 858/870, 637/570?
Answer: LCM of Numerators as per given numbers 22/411, 858/870, 637/570 is
LCM of Numerators i.e. for 22,858,637 is 42042
GCF of denominators i.e. for 411,870,570 is 3.
Thus, LCM of Fractions is 14014.Finally, LCM of Fractions for 22/411, 858/870, 637/570 is 14014.