Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/660, 59/252, 151/624 quickly i.e. 775083/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/660, 59/252, 151/624 is 775083/12.
LCM(87/660, 59/252, 151/624) = 775083/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/660,59/252,151/624
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 87,59,151
Least Common Multiple of Numerators i.e. LCM of 87,59,151 is 775083.
GCF of Denominators means GCF of 660,252,624 as per the given fractions.
GCF of 660,252,624 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,59,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 775083
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 87,59,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,59,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,59,151) x common factors =1 x 1 = 1
LCM(87,59,151) = ( 87 × 59 × 151 ) / 1
LCM(87,59,151) = 775083 / 1
LCM(87,59,151) = 775083
Lets's calculate GCF of 660,252,624
2 | 660, 252, 624 |
2 | 330, 126, 312 |
3 | 165, 63, 156 |
55, 21, 52 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 775083/12
Therefore the LCM of Fractions 87/660,59/252,151/624 is 775083/12
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 660,252,624 . The biggest common factor number is the GCF number.
So the greatest common factor 660,252,624 is 12.
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 87/660, 59/252, 151/624?
Answer: LCM of Numerators as per given numbers 87/660, 59/252, 151/624 is
LCM of Numerators i.e. for 87,59,151 is 775083
GCF of denominators i.e. for 660,252,624 is 12.
Thus, LCM of Fractions is 775083/12.Finally, LCM of Fractions for 87/660, 59/252, 151/624 is 775083/12.