Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/625, 186/603, 769/270 quickly i.e. 5292258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/625, 186/603, 769/270 is 5292258.
LCM(74/625, 186/603, 769/270) = 5292258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/625,186/603,769/270
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 74,186,769
Least Common Multiple of Numerators i.e. LCM of 74,186,769 is 5292258.
GCF of Denominators means GCF of 625,603,270 as per the given fractions.
GCF of 625,603,270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,186,769
2 | 74, 186, 769 |
37, 93, 769 |
∴ So the LCM of the given numbers is 2 x 37 x 93 x 769 = 5292258
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 74,186,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,186,769) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,186,769) x common factors =1 x 2 = 2
LCM(74,186,769) = ( 74 × 186 × 769 ) / 2
LCM(74,186,769) = 10584516 / 2
LCM(74,186,769) = 5292258
Lets's calculate GCF of 625,603,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5292258/1
Therefore the LCM of Fractions 74/625,186/603,769/270 is 5292258
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 625,603,270 . The biggest common factor number is the GCF number.
So the greatest common factor 625,603,270 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 74/625, 186/603, 769/270?
Answer: LCM of Numerators as per given numbers 74/625, 186/603, 769/270 is
LCM of Numerators i.e. for 74,186,769 is 5292258
GCF of denominators i.e. for 625,603,270 is 1.
Thus, LCM of Fractions is 5292258.Finally, LCM of Fractions for 74/625, 186/603, 769/270 is 5292258.