Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/38, 278/34, 655/540 quickly i.e. 4005980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/38, 278/34, 655/540 is 4005980.
LCM(88/38, 278/34, 655/540) = 4005980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/38,278/34,655/540
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 88,278,655
Least Common Multiple of Numerators i.e. LCM of 88,278,655 is 8011960.
GCF of Denominators means GCF of 38,34,540 as per the given fractions.
GCF of 38,34,540 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,278,655
2 | 88, 278, 655 |
44, 139, 655 |
∴ So the LCM of the given numbers is 2 x 44 x 139 x 655 = 8011960
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 88,278,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,278,655) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,278,655) x common factors =1 x 2 = 2
LCM(88,278,655) = ( 88 × 278 × 655 ) / 2
LCM(88,278,655) = 16023920 / 2
LCM(88,278,655) = 8011960
Lets's calculate GCF of 38,34,540
2 | 38, 34, 540 |
19, 17, 270 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8011960/2
Therefore the LCM of Fractions 88/38,278/34,655/540 is 4005980
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 38,34,540 . The biggest common factor number is the GCF number.
So the greatest common factor 38,34,540 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 88/38, 278/34, 655/540?
Answer: LCM of Numerators as per given numbers 88/38, 278/34, 655/540 is
LCM of Numerators i.e. for 88,278,655 is 8011960
GCF of denominators i.e. for 38,34,540 is 2.
Thus, LCM of Fractions is 4005980.Finally, LCM of Fractions for 88/38, 278/34, 655/540 is 4005980.