Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/31, 13/546, 120/398 quickly i.e. 17160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/31, 13/546, 120/398 is 17160.
LCM(88/31, 13/546, 120/398) = 17160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/31,13/546,120/398
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 88,13,120
Least Common Multiple of Numerators i.e. LCM of 88,13,120 is 17160.
GCF of Denominators means GCF of 31,546,398 as per the given fractions.
GCF of 31,546,398 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,13,120
2 | 88, 13, 120 |
2 | 44, 13, 60 |
2 | 22, 13, 30 |
11, 13, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 13 x 15 = 17160
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 88,13,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,13,120) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,13,120) x common factors =1 x 8 = 8
LCM(88,13,120) = ( 88 × 13 × 120 ) / 8
LCM(88,13,120) = 137280 / 8
LCM(88,13,120) = 17160
Lets's calculate GCF of 31,546,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17160/1
Therefore the LCM of Fractions 88/31,13/546,120/398 is 17160
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Greatest Common Factor
We found the factors 31,546,398 . The biggest common factor number is the GCF number.
So the greatest common factor 31,546,398 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 88/31, 13/546, 120/398?
Answer: LCM of Numerators as per given numbers 88/31, 13/546, 120/398 is
LCM of Numerators i.e. for 88,13,120 is 17160
GCF of denominators i.e. for 31,546,398 is 1.
Thus, LCM of Fractions is 17160.Finally, LCM of Fractions for 88/31, 13/546, 120/398 is 17160.