Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 270/32, 176/54, 213/748 quickly i.e. 843480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 270/32, 176/54, 213/748 is 843480.
LCM(270/32, 176/54, 213/748) = 843480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 270/32,176/54,213/748
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 270,176,213
Least Common Multiple of Numerators i.e. LCM of 270,176,213 is 1686960.
GCF of Denominators means GCF of 32,54,748 as per the given fractions.
GCF of 32,54,748 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 270,176,213
2 | 270, 176, 213 |
3 | 135, 88, 213 |
45, 88, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 88 x 71 = 1686960
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 270,176,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,176,213) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(270,176,213) x common factors =1 x 6 = 6
LCM(270,176,213) = ( 270 × 176 × 213 ) / 6
LCM(270,176,213) = 10121760 / 6
LCM(270,176,213) = 1686960
Lets's calculate GCF of 32,54,748
2 | 32, 54, 748 |
16, 27, 374 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1686960/2
Therefore the LCM of Fractions 270/32,176/54,213/748 is 843480
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
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
Greatest Common Factor
We found the factors 32,54,748 . The biggest common factor number is the GCF number.
So the greatest common factor 32,54,748 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 270/32, 176/54, 213/748?
Answer: LCM of Numerators as per given numbers 270/32, 176/54, 213/748 is
LCM of Numerators i.e. for 270,176,213 is 1686960
GCF of denominators i.e. for 32,54,748 is 2.
Thus, LCM of Fractions is 843480.Finally, LCM of Fractions for 270/32, 176/54, 213/748 is 843480.