Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/72, 84/265, 72/357 quickly i.e. 504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/72, 84/265, 72/357 is 504.
LCM(1/72, 84/265, 72/357) = 504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/72,84/265,72/357
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 1,84,72
Least Common Multiple of Numerators i.e. LCM of 1,84,72 is 504.
GCF of Denominators means GCF of 72,265,357 as per the given fractions.
GCF of 72,265,357 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,84,72
2 | 1, 84, 72 |
2 | 1, 42, 36 |
3 | 1, 21, 18 |
1, 7, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 7 x 6 = 504
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 1,84,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,84,72) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(1,84,72) x common factors =1 x 12 = 12
LCM(1,84,72) = ( 1 × 84 × 72 ) / 12
LCM(1,84,72) = 6048 / 12
LCM(1,84,72) = 504
Lets's calculate GCF of 72,265,357
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504/1
Therefore the LCM of Fractions 1/72,84/265,72/357 is 504
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 72,265,357 . The biggest common factor number is the GCF number.
So the greatest common factor 72,265,357 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 1/72, 84/265, 72/357?
Answer: LCM of Numerators as per given numbers 1/72, 84/265, 72/357 is
LCM of Numerators i.e. for 1,84,72 is 504
GCF of denominators i.e. for 72,265,357 is 1.
Thus, LCM of Fractions is 504.Finally, LCM of Fractions for 1/72, 84/265, 72/357 is 504.