Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/21, 908/93, 767/416 quickly i.e. 17410900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/21, 908/93, 767/416 is 17410900.
LCM(50/21, 908/93, 767/416) = 17410900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/21,908/93,767/416
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 50,908,767
Least Common Multiple of Numerators i.e. LCM of 50,908,767 is 17410900.
GCF of Denominators means GCF of 21,93,416 as per the given fractions.
GCF of 21,93,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,908,767
2 | 50, 908, 767 |
25, 454, 767 |
∴ So the LCM of the given numbers is 2 x 25 x 454 x 767 = 17410900
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 50,908,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,908,767) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,908,767) x common factors =1 x 2 = 2
LCM(50,908,767) = ( 50 × 908 × 767 ) / 2
LCM(50,908,767) = 34821800 / 2
LCM(50,908,767) = 17410900
Lets's calculate GCF of 21,93,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17410900/1
Therefore the LCM of Fractions 50/21,908/93,767/416 is 17410900
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 21,93,416 . The biggest common factor number is the GCF number.
So the greatest common factor 21,93,416 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 50/21, 908/93, 767/416?
Answer: LCM of Numerators as per given numbers 50/21, 908/93, 767/416 is
LCM of Numerators i.e. for 50,908,767 is 17410900
GCF of denominators i.e. for 21,93,416 is 1.
Thus, LCM of Fractions is 17410900.Finally, LCM of Fractions for 50/21, 908/93, 767/416 is 17410900.