Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/786, 667/897, 664/339 quickly i.e. 11072200/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/786, 667/897, 664/339 is 11072200/3.
LCM(50/786, 667/897, 664/339) = 11072200/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/786,667/897,664/339
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 50,667,664
Least Common Multiple of Numerators i.e. LCM of 50,667,664 is 11072200.
GCF of Denominators means GCF of 786,897,339 as per the given fractions.
GCF of 786,897,339 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,667,664
2 | 50, 667, 664 |
25, 667, 332 |
∴ So the LCM of the given numbers is 2 x 25 x 667 x 332 = 11072200
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 50,667,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,667,664) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,667,664) x common factors =1 x 2 = 2
LCM(50,667,664) = ( 50 × 667 × 664 ) / 2
LCM(50,667,664) = 22144400 / 2
LCM(50,667,664) = 11072200
Lets's calculate GCF of 786,897,339
3 | 786, 897, 339 |
262, 299, 113 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11072200/3
Therefore the LCM of Fractions 50/786,667/897,664/339 is 11072200/3
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 786,897,339 . The biggest common factor number is the GCF number.
So the greatest common factor 786,897,339 is 3.
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 50/786, 667/897, 664/339?
Answer: LCM of Numerators as per given numbers 50/786, 667/897, 664/339 is
LCM of Numerators i.e. for 50,667,664 is 11072200
GCF of denominators i.e. for 786,897,339 is 3.
Thus, LCM of Fractions is 11072200/3.Finally, LCM of Fractions for 50/786, 667/897, 664/339 is 11072200/3.