Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 850/87, 561/97, 480/26 quickly i.e. 448800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 850/87, 561/97, 480/26 is 448800.
LCM(850/87, 561/97, 480/26) = 448800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 850/87,561/97,480/26
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 850,561,480
Least Common Multiple of Numerators i.e. LCM of 850,561,480 is 448800.
GCF of Denominators means GCF of 87,97,26 as per the given fractions.
GCF of 87,97,26 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 850,561,480
2 | 850, 561, 480 |
3 | 425, 561, 240 |
5 | 425, 187, 80 |
17 | 85, 187, 16 |
5, 11, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 5 x 11 x 16 = 448800
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 850,561,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,561,480) = 1
common factors(in case of two or more numbers have common factors) = 510
GCF(850,561,480) x common factors =1 x 510 = 510
LCM(850,561,480) = ( 850 × 561 × 480 ) / 510
LCM(850,561,480) = 228888000 / 510
LCM(850,561,480) = 448800
Lets's calculate GCF of 87,97,26
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448800/1
Therefore the LCM of Fractions 850/87,561/97,480/26 is 448800
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Greatest Common Factor
We found the factors 87,97,26 . The biggest common factor number is the GCF number.
So the greatest common factor 87,97,26 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 850/87, 561/97, 480/26?
Answer: LCM of Numerators as per given numbers 850/87, 561/97, 480/26 is
LCM of Numerators i.e. for 850,561,480 is 448800
GCF of denominators i.e. for 87,97,26 is 1.
Thus, LCM of Fractions is 448800.Finally, LCM of Fractions for 850/87, 561/97, 480/26 is 448800.