Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/34, 747/90, 410/662 quickly i.e. 13935285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/34, 747/90, 410/662 is 13935285.
LCM(546/34, 747/90, 410/662) = 13935285
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/34,747/90,410/662
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 546,747,410
Least Common Multiple of Numerators i.e. LCM of 546,747,410 is 27870570.
GCF of Denominators means GCF of 34,90,662 as per the given fractions.
GCF of 34,90,662 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,747,410
2 | 546, 747, 410 |
3 | 273, 747, 205 |
91, 249, 205 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 249 x 205 = 27870570
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 546,747,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,747,410) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(546,747,410) x common factors =1 x 6 = 6
LCM(546,747,410) = ( 546 × 747 × 410 ) / 6
LCM(546,747,410) = 167223420 / 6
LCM(546,747,410) = 27870570
Lets's calculate GCF of 34,90,662
2 | 34, 90, 662 |
17, 45, 331 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27870570/2
Therefore the LCM of Fractions 546/34,747/90,410/662 is 13935285
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 34,90,662 . The biggest common factor number is the GCF number.
So the greatest common factor 34,90,662 is 2.
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 546/34, 747/90, 410/662?
Answer: LCM of Numerators as per given numbers 546/34, 747/90, 410/662 is
LCM of Numerators i.e. for 546,747,410 is 27870570
GCF of denominators i.e. for 34,90,662 is 2.
Thus, LCM of Fractions is 13935285.Finally, LCM of Fractions for 546/34, 747/90, 410/662 is 13935285.