Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/468, 67/214, 757/570 quickly i.e. 1825884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/468, 67/214, 757/570 is 1825884.
LCM(72/468, 67/214, 757/570) = 1825884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/468,67/214,757/570
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 72,67,757
Least Common Multiple of Numerators i.e. LCM of 72,67,757 is 3651768.
GCF of Denominators means GCF of 468,214,570 as per the given fractions.
GCF of 468,214,570 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,67,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 3651768
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 72,67,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,67,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,67,757) x common factors =1 x 1 = 1
LCM(72,67,757) = ( 72 × 67 × 757 ) / 1
LCM(72,67,757) = 3651768 / 1
LCM(72,67,757) = 3651768
Lets's calculate GCF of 468,214,570
2 | 468, 214, 570 |
234, 107, 285 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3651768/2
Therefore the LCM of Fractions 72/468,67/214,757/570 is 1825884
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 468,214,570 . The biggest common factor number is the GCF number.
So the greatest common factor 468,214,570 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 72/468, 67/214, 757/570?
Answer: LCM of Numerators as per given numbers 72/468, 67/214, 757/570 is
LCM of Numerators i.e. for 72,67,757 is 3651768
GCF of denominators i.e. for 468,214,570 is 2.
Thus, LCM of Fractions is 1825884.Finally, LCM of Fractions for 72/468, 67/214, 757/570 is 1825884.