Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 357/72, 264/60, 918/266 quickly i.e. 141372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 357/72, 264/60, 918/266 is 141372.
LCM(357/72, 264/60, 918/266) = 141372
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 357/72,264/60,918/266
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 357,264,918
Least Common Multiple of Numerators i.e. LCM of 357,264,918 is 282744.
GCF of Denominators means GCF of 72,60,266 as per the given fractions.
GCF of 72,60,266 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 357,264,918
2 | 357, 264, 918 |
3 | 357, 132, 459 |
17 | 119, 44, 153 |
7, 44, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 44 x 9 = 282744
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 357,264,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,264,918) = 3
common factors(in case of two or more numbers have common factors) = 102
GCF(357,264,918) x common factors =3 x 102 = 306
LCM(357,264,918) = ( 357 × 264 × 918 ) / 306
LCM(357,264,918) = 86519664 / 306
LCM(357,264,918) = 282744
Lets's calculate GCF of 72,60,266
2 | 72, 60, 266 |
36, 30, 133 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282744/2
Therefore the LCM of Fractions 357/72,264/60,918/266 is 141372
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 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 72,60,266 . The biggest common factor number is the GCF number.
So the greatest common factor 72,60,266 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 357/72, 264/60, 918/266?
Answer: LCM of Numerators as per given numbers 357/72, 264/60, 918/266 is
LCM of Numerators i.e. for 357,264,918 is 282744
GCF of denominators i.e. for 72,60,266 is 2.
Thus, LCM of Fractions is 141372.Finally, LCM of Fractions for 357/72, 264/60, 918/266 is 141372.