Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 187/320, 632/881, 988/857 quickly i.e. 29191448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 187/320, 632/881, 988/857 is 29191448.
LCM(187/320, 632/881, 988/857) = 29191448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 187/320,632/881,988/857
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 187,632,988
Least Common Multiple of Numerators i.e. LCM of 187,632,988 is 29191448.
GCF of Denominators means GCF of 320,881,857 as per the given fractions.
GCF of 320,881,857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 187,632,988
2 | 187, 632, 988 |
2 | 187, 316, 494 |
187, 158, 247 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 158 x 247 = 29191448
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 187,632,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,632,988) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(187,632,988) x common factors =1 x 4 = 4
LCM(187,632,988) = ( 187 × 632 × 988 ) / 4
LCM(187,632,988) = 116765792 / 4
LCM(187,632,988) = 29191448
Lets's calculate GCF of 320,881,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29191448/1
Therefore the LCM of Fractions 187/320,632/881,988/857 is 29191448
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 857
List of positive integer factors of 857 that divides 857 without a remainder.
1,857
Greatest Common Factor
We found the factors 320,881,857 . The biggest common factor number is the GCF number.
So the greatest common factor 320,881,857 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 187/320, 632/881, 988/857?
Answer: LCM of Numerators as per given numbers 187/320, 632/881, 988/857 is
LCM of Numerators i.e. for 187,632,988 is 29191448
GCF of denominators i.e. for 320,881,857 is 1.
Thus, LCM of Fractions is 29191448.Finally, LCM of Fractions for 187/320, 632/881, 988/857 is 29191448.