Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/962, 646/868, 559/176 quickly i.e. 4513925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/962, 646/868, 559/176 is 4513925.
LCM(50/962, 646/868, 559/176) = 4513925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/962,646/868,559/176
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 50,646,559
Least Common Multiple of Numerators i.e. LCM of 50,646,559 is 9027850.
GCF of Denominators means GCF of 962,868,176 as per the given fractions.
GCF of 962,868,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,646,559
2 | 50, 646, 559 |
25, 323, 559 |
∴ So the LCM of the given numbers is 2 x 25 x 323 x 559 = 9027850
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 50,646,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,646,559) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,646,559) x common factors =1 x 2 = 2
LCM(50,646,559) = ( 50 × 646 × 559 ) / 2
LCM(50,646,559) = 18055700 / 2
LCM(50,646,559) = 9027850
Lets's calculate GCF of 962,868,176
2 | 962, 868, 176 |
481, 434, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9027850/2
Therefore the LCM of Fractions 50/962,646/868,559/176 is 4513925
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 962,868,176 . The biggest common factor number is the GCF number.
So the greatest common factor 962,868,176 is 2.
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 50/962, 646/868, 559/176?
Answer: LCM of Numerators as per given numbers 50/962, 646/868, 559/176 is
LCM of Numerators i.e. for 50,646,559 is 9027850
GCF of denominators i.e. for 962,868,176 is 2.
Thus, LCM of Fractions is 4513925.Finally, LCM of Fractions for 50/962, 646/868, 559/176 is 4513925.