Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/748, 54/704, 45/901 quickly i.e. 540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/748, 54/704, 45/901 is 540.
LCM(4/748, 54/704, 45/901) = 540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/748,54/704,45/901
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 4,54,45
Least Common Multiple of Numerators i.e. LCM of 4,54,45 is 540.
GCF of Denominators means GCF of 748,704,901 as per the given fractions.
GCF of 748,704,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,54,45
2 | 4, 54, 45 |
3 | 2, 27, 45 |
3 | 2, 9, 15 |
2, 3, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 3 x 5 = 540
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 4,54,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,54,45) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(4,54,45) x common factors =1 x 18 = 18
LCM(4,54,45) = ( 4 × 54 × 45 ) / 18
LCM(4,54,45) = 9720 / 18
LCM(4,54,45) = 540
Lets's calculate GCF of 748,704,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540/1
Therefore the LCM of Fractions 4/748,54/704,45/901 is 540
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 748,704,901 . The biggest common factor number is the GCF number.
So the greatest common factor 748,704,901 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 4/748, 54/704, 45/901?
Answer: LCM of Numerators as per given numbers 4/748, 54/704, 45/901 is
LCM of Numerators i.e. for 4,54,45 is 540
GCF of denominators i.e. for 748,704,901 is 1.
Thus, LCM of Fractions is 540.Finally, LCM of Fractions for 4/748, 54/704, 45/901 is 540.