Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 272/376, 717/120, 105/756 quickly i.e. 1706460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 272/376, 717/120, 105/756 is 1706460.
LCM(272/376, 717/120, 105/756) = 1706460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 272/376,717/120,105/756
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 272,717,105
Least Common Multiple of Numerators i.e. LCM of 272,717,105 is 6825840.
GCF of Denominators means GCF of 376,120,756 as per the given fractions.
GCF of 376,120,756 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 272,717,105
3 | 272, 717, 105 |
272, 239, 35 |
∴ So the LCM of the given numbers is 3 x 272 x 239 x 35 = 6825840
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 272,717,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,717,105) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(272,717,105) x common factors =1 x 3 = 3
LCM(272,717,105) = ( 272 × 717 × 105 ) / 3
LCM(272,717,105) = 20477520 / 3
LCM(272,717,105) = 6825840
Lets's calculate GCF of 376,120,756
2 | 376, 120, 756 |
2 | 188, 60, 378 |
94, 30, 189 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6825840/4
Therefore the LCM of Fractions 272/376,717/120,105/756 is 1706460
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 376,120,756 . The biggest common factor number is the GCF number.
So the greatest common factor 376,120,756 is 4.
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 272/376, 717/120, 105/756?
Answer: LCM of Numerators as per given numbers 272/376, 717/120, 105/756 is
LCM of Numerators i.e. for 272,717,105 is 6825840
GCF of denominators i.e. for 376,120,756 is 4.
Thus, LCM of Fractions is 1706460.Finally, LCM of Fractions for 272/376, 717/120, 105/756 is 1706460.