Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/850, 9574/1043 quickly i.e. 47870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/850, 9574/1043 is 47870.
LCM(10/850, 9574/1043) = 47870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/850,9574/1043
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 10,9574
Least Common Multiple of Numerators i.e. LCM of 10,9574 is 47870.
GCF of Denominators means GCF of 850,1043 as per the given fractions.
GCF of 850,1043 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,9574
2 | 10, 9574 |
5, 4787 |
∴ So the LCM of the given numbers is 2 x 5 x 4787 = 47870
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 10,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,9574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,9574) x common factors =2 x 1 = 2
LCM(10,9574) = ( 10 × 9574 ) / 2
LCM(10,9574) = 95740 / 2
LCM(10,9574) = 47870
Lets's calculate GCF of 850,1043
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47870/1
Therefore the LCM of Fractions 10/850,9574/1043 is 47870
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 1043
List of positive integer factors of 1043 that divides 1043 without a remainder.
1,7,149,1043
Greatest Common Factor
We found the factors 850,1043 . The biggest common factor number is the GCF number.
So the greatest common factor 850,1043 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 10/850, 9574/1043?
Answer: LCM of Numerators as per given numbers 10/850, 9574/1043 is
LCM of Numerators i.e. for 10,9574 is 47870
GCF of denominators i.e. for 850,1043 is 1.
Thus, LCM of Fractions is 47870.Finally, LCM of Fractions for 10/850, 9574/1043 is 47870.