Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/150, 89/435, 125/711 quickly i.e. 979000/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/150, 89/435, 125/711 is 979000/3.
LCM(88/150, 89/435, 125/711) = 979000/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/150,89/435,125/711
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 88,89,125
Least Common Multiple of Numerators i.e. LCM of 88,89,125 is 979000.
GCF of Denominators means GCF of 150,435,711 as per the given fractions.
GCF of 150,435,711 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,89,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 979000
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 88,89,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,89,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,89,125) x common factors =1 x 1 = 1
LCM(88,89,125) = ( 88 × 89 × 125 ) / 1
LCM(88,89,125) = 979000 / 1
LCM(88,89,125) = 979000
Lets's calculate GCF of 150,435,711
3 | 150, 435, 711 |
50, 145, 237 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 979000/3
Therefore the LCM of Fractions 88/150,89/435,125/711 is 979000/3
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 150,435,711 . The biggest common factor number is the GCF number.
So the greatest common factor 150,435,711 is 3.
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 88/150, 89/435, 125/711?
Answer: LCM of Numerators as per given numbers 88/150, 89/435, 125/711 is
LCM of Numerators i.e. for 88,89,125 is 979000
GCF of denominators i.e. for 150,435,711 is 3.
Thus, LCM of Fractions is 979000/3.Finally, LCM of Fractions for 88/150, 89/435, 125/711 is 979000/3.