Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/43, 465/91, 335/970 quickly i.e. 26294820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/43, 465/91, 335/970 is 26294820.
LCM(844/43, 465/91, 335/970) = 26294820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/43,465/91,335/970
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 844,465,335
Least Common Multiple of Numerators i.e. LCM of 844,465,335 is 26294820.
GCF of Denominators means GCF of 43,91,970 as per the given fractions.
GCF of 43,91,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,465,335
5 | 844, 465, 335 |
844, 93, 67 |
∴ So the LCM of the given numbers is 5 x 844 x 93 x 67 = 26294820
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 844,465,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,465,335) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(844,465,335) x common factors =1 x 5 = 5
LCM(844,465,335) = ( 844 × 465 × 335 ) / 5
LCM(844,465,335) = 131474100 / 5
LCM(844,465,335) = 26294820
Lets's calculate GCF of 43,91,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26294820/1
Therefore the LCM of Fractions 844/43,465/91,335/970 is 26294820
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 43,91,970 . The biggest common factor number is the GCF number.
So the greatest common factor 43,91,970 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 844/43, 465/91, 335/970?
Answer: LCM of Numerators as per given numbers 844/43, 465/91, 335/970 is
LCM of Numerators i.e. for 844,465,335 is 26294820
GCF of denominators i.e. for 43,91,970 is 1.
Thus, LCM of Fractions is 26294820.Finally, LCM of Fractions for 844/43, 465/91, 335/970 is 26294820.