Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 191/885, 974/800, 402/635 quickly i.e. 37392834/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 191/885, 974/800, 402/635 is 37392834/5.
LCM(191/885, 974/800, 402/635) = 37392834/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 191/885,974/800,402/635
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 191,974,402
Least Common Multiple of Numerators i.e. LCM of 191,974,402 is 37392834.
GCF of Denominators means GCF of 885,800,635 as per the given fractions.
GCF of 885,800,635 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 191,974,402
2 | 191, 974, 402 |
191, 487, 201 |
∴ So the LCM of the given numbers is 2 x 191 x 487 x 201 = 37392834
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 191,974,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,974,402) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(191,974,402) x common factors =1 x 2 = 2
LCM(191,974,402) = ( 191 × 974 × 402 ) / 2
LCM(191,974,402) = 74785668 / 2
LCM(191,974,402) = 37392834
Lets's calculate GCF of 885,800,635
5 | 885, 800, 635 |
177, 160, 127 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37392834/5
Therefore the LCM of Fractions 191/885,974/800,402/635 is 37392834/5
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 885,800,635 . The biggest common factor number is the GCF number.
So the greatest common factor 885,800,635 is 5.
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 191/885, 974/800, 402/635?
Answer: LCM of Numerators as per given numbers 191/885, 974/800, 402/635 is
LCM of Numerators i.e. for 191,974,402 is 37392834
GCF of denominators i.e. for 885,800,635 is 5.
Thus, LCM of Fractions is 37392834/5.Finally, LCM of Fractions for 191/885, 974/800, 402/635 is 37392834/5.