Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 925/991, 150/810, 335/638 quickly i.e. 371850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 925/991, 150/810, 335/638 is 371850.
LCM(925/991, 150/810, 335/638) = 371850
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 925/991,150/810,335/638
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 925,150,335
Least Common Multiple of Numerators i.e. LCM of 925,150,335 is 371850.
GCF of Denominators means GCF of 991,810,638 as per the given fractions.
GCF of 991,810,638 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 925,150,335
5 | 925, 150, 335 |
5 | 185, 30, 67 |
37, 6, 67 |
∴ So the LCM of the given numbers is 5 x 5 x 37 x 6 x 67 = 371850
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 925,150,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,150,335) = 5
common factors(in case of two or more numbers have common factors) = 25
GCF(925,150,335) x common factors =5 x 25 = 125
LCM(925,150,335) = ( 925 × 150 × 335 ) / 125
LCM(925,150,335) = 46481250 / 125
LCM(925,150,335) = 371850
Lets's calculate GCF of 991,810,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371850/1
Therefore the LCM of Fractions 925/991,150/810,335/638 is 371850
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 991,810,638 . The biggest common factor number is the GCF number.
So the greatest common factor 991,810,638 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 925/991, 150/810, 335/638?
Answer: LCM of Numerators as per given numbers 925/991, 150/810, 335/638 is
LCM of Numerators i.e. for 925,150,335 is 371850
GCF of denominators i.e. for 991,810,638 is 1.
Thus, LCM of Fractions is 371850.Finally, LCM of Fractions for 925/991, 150/810, 335/638 is 371850.