Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/955, 648/186, 346/600 quickly i.e. 3251016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/955, 648/186, 346/600 is 3251016.
LCM(87/955, 648/186, 346/600) = 3251016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/955,648/186,346/600
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 87,648,346
Least Common Multiple of Numerators i.e. LCM of 87,648,346 is 3251016.
GCF of Denominators means GCF of 955,186,600 as per the given fractions.
GCF of 955,186,600 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,648,346
2 | 87, 648, 346 |
3 | 87, 324, 173 |
29, 108, 173 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 108 x 173 = 3251016
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 87,648,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,648,346) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,648,346) x common factors =1 x 6 = 6
LCM(87,648,346) = ( 87 × 648 × 346 ) / 6
LCM(87,648,346) = 19506096 / 6
LCM(87,648,346) = 3251016
Lets's calculate GCF of 955,186,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3251016/1
Therefore the LCM of Fractions 87/955,648/186,346/600 is 3251016
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 955,186,600 . The biggest common factor number is the GCF number.
So the greatest common factor 955,186,600 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 87/955, 648/186, 346/600?
Answer: LCM of Numerators as per given numbers 87/955, 648/186, 346/600 is
LCM of Numerators i.e. for 87,648,346 is 3251016
GCF of denominators i.e. for 955,186,600 is 1.
Thus, LCM of Fractions is 3251016.Finally, LCM of Fractions for 87/955, 648/186, 346/600 is 3251016.