Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/897, 770/184 quickly i.e. 11550/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/897, 770/184 is 11550/23.
LCM(525/897, 770/184) = 11550/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/897,770/184
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 525,770
Least Common Multiple of Numerators i.e. LCM of 525,770 is 11550.
GCF of Denominators means GCF of 897,184 as per the given fractions.
GCF of 897,184 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,770
5 | 525, 770 |
7 | 105, 154 |
15, 22 |
∴ So the LCM of the given numbers is 5 x 7 x 15 x 22 = 11550
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 525,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,770) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(525,770) x common factors =35 x 1 = 35
LCM(525,770) = ( 525 × 770 ) / 35
LCM(525,770) = 404250 / 35
LCM(525,770) = 11550
Lets's calculate GCF of 897,184
23 | 897, 184 |
39, 8 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11550/23
Therefore the LCM of Fractions 525/897,770/184 is 11550/23
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 897,184 . The biggest common factor number is the GCF number.
So the greatest common factor 897,184 is 23.
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 525/897, 770/184?
Answer: LCM of Numerators as per given numbers 525/897, 770/184 is
LCM of Numerators i.e. for 525,770 is 11550
GCF of denominators i.e. for 897,184 is 23.
Thus, LCM of Fractions is 11550/23.Finally, LCM of Fractions for 525/897, 770/184 is 11550/23.