Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/530, 67/554, 154/329 quickly i.e. 371448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/530, 67/554, 154/329 is 371448.
LCM(72/530, 67/554, 154/329) = 371448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/530,67/554,154/329
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 72,67,154
Least Common Multiple of Numerators i.e. LCM of 72,67,154 is 371448.
GCF of Denominators means GCF of 530,554,329 as per the given fractions.
GCF of 530,554,329 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,67,154
2 | 72, 67, 154 |
36, 67, 77 |
∴ So the LCM of the given numbers is 2 x 36 x 67 x 77 = 371448
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 72,67,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,67,154) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(72,67,154) x common factors =1 x 2 = 2
LCM(72,67,154) = ( 72 × 67 × 154 ) / 2
LCM(72,67,154) = 742896 / 2
LCM(72,67,154) = 371448
Lets's calculate GCF of 530,554,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371448/1
Therefore the LCM of Fractions 72/530,67/554,154/329 is 371448
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 530,554,329 . The biggest common factor number is the GCF number.
So the greatest common factor 530,554,329 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 72/530, 67/554, 154/329?
Answer: LCM of Numerators as per given numbers 72/530, 67/554, 154/329 is
LCM of Numerators i.e. for 72,67,154 is 371448
GCF of denominators i.e. for 530,554,329 is 1.
Thus, LCM of Fractions is 371448.Finally, LCM of Fractions for 72/530, 67/554, 154/329 is 371448.