Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/87, 89/17, 61/92, 95/537 quickly i.e. 1031510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/87, 89/17, 61/92, 95/537 is 1031510.
LCM(38/87, 89/17, 61/92, 95/537) = 1031510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/87,89/17,61/92,95/537
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 38,89,61,95
Least Common Multiple of Numerators i.e. LCM of 38,89,61,95 is 1031510.
GCF of Denominators means GCF of 87,17,92,537 as per the given fractions.
GCF of 87,17,92,537 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,89,61,95
19 | 38, 89, 61, 95 |
2, 89, 61, 5 |
∴ So the LCM of the given numbers is 19 x 2 x 89 x 61 x 5 = 1031510
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 38,89,61,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,89,61,95) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(38,89,61,95) x common factors =1 x 19 = 19
LCM(38,89,61,95) = ( 38 × 89 × 61 × 95 ) / 19
LCM(38,89,61,95) = 19598690 / 19
LCM(38,89,61,95) = 1031510
Lets's calculate GCF of 87,17,92,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1031510/1
Therefore the LCM of Fractions 38/87,89/17,61/92,95/537 is 1031510
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Greatest Common Factor
We found the factors 87,17,92,537 . The biggest common factor number is the GCF number.
So the greatest common factor 87,17,92,537 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 38/87, 89/17, 61/92, 95/537?
Answer: LCM of Numerators as per given numbers 38/87, 89/17, 61/92, 95/537 is
LCM of Numerators i.e. for 38,89,61,95 is 1031510
GCF of denominators i.e. for 87,17,92,537 is 1.
Thus, LCM of Fractions is 1031510.Finally, LCM of Fractions for 38/87, 89/17, 61/92, 95/537 is 1031510.