Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/26, 56/94, 585/437 quickly i.e. 1998360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/26, 56/94, 585/437 is 1998360.
LCM(61/26, 56/94, 585/437) = 1998360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/26,56/94,585/437
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 61,56,585
Least Common Multiple of Numerators i.e. LCM of 61,56,585 is 1998360.
GCF of Denominators means GCF of 26,94,437 as per the given fractions.
GCF of 26,94,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,56,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 1998360
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 61,56,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,56,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,56,585) x common factors =1 x 1 = 1
LCM(61,56,585) = ( 61 × 56 × 585 ) / 1
LCM(61,56,585) = 1998360 / 1
LCM(61,56,585) = 1998360
Lets's calculate GCF of 26,94,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1998360/1
Therefore the LCM of Fractions 61/26,56/94,585/437 is 1998360
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 26,94,437 . The biggest common factor number is the GCF number.
So the greatest common factor 26,94,437 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 61/26, 56/94, 585/437?
Answer: LCM of Numerators as per given numbers 61/26, 56/94, 585/437 is
LCM of Numerators i.e. for 61,56,585 is 1998360
GCF of denominators i.e. for 26,94,437 is 1.
Thus, LCM of Fractions is 1998360.Finally, LCM of Fractions for 61/26, 56/94, 585/437 is 1998360.