Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/525, 67/181, 78/474 quickly i.e. 5226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/525, 67/181, 78/474 is 5226.
LCM(6/525, 67/181, 78/474) = 5226
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/525,67/181,78/474
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 6,67,78
Least Common Multiple of Numerators i.e. LCM of 6,67,78 is 5226.
GCF of Denominators means GCF of 525,181,474 as per the given fractions.
GCF of 525,181,474 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,67,78
2 | 6, 67, 78 |
3 | 3, 67, 39 |
1, 67, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 67 x 13 = 5226
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 6,67,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,67,78) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(6,67,78) x common factors =1 x 6 = 6
LCM(6,67,78) = ( 6 × 67 × 78 ) / 6
LCM(6,67,78) = 31356 / 6
LCM(6,67,78) = 5226
Lets's calculate GCF of 525,181,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5226/1
Therefore the LCM of Fractions 6/525,67/181,78/474 is 5226
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 525,181,474 . The biggest common factor number is the GCF number.
So the greatest common factor 525,181,474 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 6/525, 67/181, 78/474?
Answer: LCM of Numerators as per given numbers 6/525, 67/181, 78/474 is
LCM of Numerators i.e. for 6,67,78 is 5226
GCF of denominators i.e. for 525,181,474 is 1.
Thus, LCM of Fractions is 5226.Finally, LCM of Fractions for 6/525, 67/181, 78/474 is 5226.