Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/780, 51/502, 541/623 quickly i.e. 1131231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/780, 51/502, 541/623 is 1131231.
LCM(41/780, 51/502, 541/623) = 1131231
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/780,51/502,541/623
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 41,51,541
Least Common Multiple of Numerators i.e. LCM of 41,51,541 is 1131231.
GCF of Denominators means GCF of 780,502,623 as per the given fractions.
GCF of 780,502,623 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,51,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 1131231
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 41,51,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,51,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,51,541) x common factors =1 x 1 = 1
LCM(41,51,541) = ( 41 × 51 × 541 ) / 1
LCM(41,51,541) = 1131231 / 1
LCM(41,51,541) = 1131231
Lets's calculate GCF of 780,502,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1131231/1
Therefore the LCM of Fractions 41/780,51/502,541/623 is 1131231
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 780,502,623 . The biggest common factor number is the GCF number.
So the greatest common factor 780,502,623 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 41/780, 51/502, 541/623?
Answer: LCM of Numerators as per given numbers 41/780, 51/502, 541/623 is
LCM of Numerators i.e. for 41,51,541 is 1131231
GCF of denominators i.e. for 780,502,623 is 1.
Thus, LCM of Fractions is 1131231.Finally, LCM of Fractions for 41/780, 51/502, 541/623 is 1131231.