Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/41, 7/55, 62/83, 26/785 quickly i.e. 5642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/41, 7/55, 62/83, 26/785 is 5642.
LCM(7/41, 7/55, 62/83, 26/785) = 5642
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/41,7/55,62/83,26/785
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 7,7,62,26
Least Common Multiple of Numerators i.e. LCM of 7,7,62,26 is 5642.
GCF of Denominators means GCF of 41,55,83,785 as per the given fractions.
GCF of 41,55,83,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,7,62,26
2 | 7, 7, 62, 26 |
7 | 7, 7, 31, 13 |
1, 1, 31, 13 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 1 x 31 x 13 = 5642
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 7,7,62,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,7,62,26) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(7,7,62,26) x common factors =1 x 14 = 14
LCM(7,7,62,26) = ( 7 × 7 × 62 × 26 ) / 14
LCM(7,7,62,26) = 78988 / 14
LCM(7,7,62,26) = 5642
Lets's calculate GCF of 41,55,83,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5642/1
Therefore the LCM of Fractions 7/41,7/55,62/83,26/785 is 5642
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 41,55,83,785 . The biggest common factor number is the GCF number.
So the greatest common factor 41,55,83,785 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 7/41, 7/55, 62/83, 26/785?
Answer: LCM of Numerators as per given numbers 7/41, 7/55, 62/83, 26/785 is
LCM of Numerators i.e. for 7,7,62,26 is 5642
GCF of denominators i.e. for 41,55,83,785 is 1.
Thus, LCM of Fractions is 5642.Finally, LCM of Fractions for 7/41, 7/55, 62/83, 26/785 is 5642.