Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/890, 91/816, 639/580 quickly i.e. 1453725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/890, 91/816, 639/580 is 1453725.
LCM(50/890, 91/816, 639/580) = 1453725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/890,91/816,639/580
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 50,91,639
Least Common Multiple of Numerators i.e. LCM of 50,91,639 is 2907450.
GCF of Denominators means GCF of 890,816,580 as per the given fractions.
GCF of 890,816,580 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,91,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 2907450
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 50,91,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,91,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,91,639) x common factors =1 x 1 = 1
LCM(50,91,639) = ( 50 × 91 × 639 ) / 1
LCM(50,91,639) = 2907450 / 1
LCM(50,91,639) = 2907450
Lets's calculate GCF of 890,816,580
2 | 890, 816, 580 |
445, 408, 290 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2907450/2
Therefore the LCM of Fractions 50/890,91/816,639/580 is 1453725
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 890,816,580 . The biggest common factor number is the GCF number.
So the greatest common factor 890,816,580 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 50/890, 91/816, 639/580?
Answer: LCM of Numerators as per given numbers 50/890, 91/816, 639/580 is
LCM of Numerators i.e. for 50,91,639 is 2907450
GCF of denominators i.e. for 890,816,580 is 2.
Thus, LCM of Fractions is 1453725.Finally, LCM of Fractions for 50/890, 91/816, 639/580 is 1453725.