Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 854/22, 154/5560 quickly i.e. 4697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 854/22, 154/5560 is 4697.
LCM(854/22, 154/5560) = 4697
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 854/22,154/5560
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 854,154
Least Common Multiple of Numerators i.e. LCM of 854,154 is 9394.
GCF of Denominators means GCF of 22,5560 as per the given fractions.
GCF of 22,5560 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 854,154
2 | 854, 154 |
7 | 427, 77 |
61, 11 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 11 = 9394
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 854,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,154) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(854,154) x common factors =14 x 1 = 14
LCM(854,154) = ( 854 × 154 ) / 14
LCM(854,154) = 131516 / 14
LCM(854,154) = 9394
Lets's calculate GCF of 22,5560
2 | 22, 5560 |
11, 2780 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9394/2
Therefore the LCM of Fractions 854/22,154/5560 is 4697
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 5560
List of positive integer factors of 5560 that divides 5560 without a remainder.
1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Greatest Common Factor
We found the factors 22,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 22,5560 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 854/22, 154/5560?
Answer: LCM of Numerators as per given numbers 854/22, 154/5560 is
LCM of Numerators i.e. for 854,154 is 9394
GCF of denominators i.e. for 22,5560 is 2.
Thus, LCM of Fractions is 4697.Finally, LCM of Fractions for 854/22, 154/5560 is 4697.