Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/149, 870/652, 854/288 quickly i.e. 15974070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/149, 870/652, 854/288 is 15974070.
LCM(86/149, 870/652, 854/288) = 15974070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/149,870/652,854/288
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 86,870,854
Least Common Multiple of Numerators i.e. LCM of 86,870,854 is 15974070.
GCF of Denominators means GCF of 149,652,288 as per the given fractions.
GCF of 149,652,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,870,854
2 | 86, 870, 854 |
43, 435, 427 |
∴ So the LCM of the given numbers is 2 x 43 x 435 x 427 = 15974070
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 86,870,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,870,854) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,870,854) x common factors =2 x 2 = 4
LCM(86,870,854) = ( 86 × 870 × 854 ) / 4
LCM(86,870,854) = 63896280 / 4
LCM(86,870,854) = 15974070
Lets's calculate GCF of 149,652,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15974070/1
Therefore the LCM of Fractions 86/149,870/652,854/288 is 15974070
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 149,652,288 . The biggest common factor number is the GCF number.
So the greatest common factor 149,652,288 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 86/149, 870/652, 854/288?
Answer: LCM of Numerators as per given numbers 86/149, 870/652, 854/288 is
LCM of Numerators i.e. for 86,870,854 is 15974070
GCF of denominators i.e. for 149,652,288 is 1.
Thus, LCM of Fractions is 15974070.Finally, LCM of Fractions for 86/149, 870/652, 854/288 is 15974070.