Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/587, 816/468, 145/178 quickly i.e. 828240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/587, 816/468, 145/178 is 828240.
LCM(70/587, 816/468, 145/178) = 828240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/587,816/468,145/178
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 70,816,145
Least Common Multiple of Numerators i.e. LCM of 70,816,145 is 828240.
GCF of Denominators means GCF of 587,468,178 as per the given fractions.
GCF of 587,468,178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,816,145
2 | 70, 816, 145 |
5 | 35, 408, 145 |
7, 408, 29 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 408 x 29 = 828240
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 70,816,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,816,145) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,816,145) x common factors =1 x 10 = 10
LCM(70,816,145) = ( 70 × 816 × 145 ) / 10
LCM(70,816,145) = 8282400 / 10
LCM(70,816,145) = 828240
Lets's calculate GCF of 587,468,178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828240/1
Therefore the LCM of Fractions 70/587,816/468,145/178 is 828240
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 587,468,178 . The biggest common factor number is the GCF number.
So the greatest common factor 587,468,178 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 70/587, 816/468, 145/178?
Answer: LCM of Numerators as per given numbers 70/587, 816/468, 145/178 is
LCM of Numerators i.e. for 70,816,145 is 828240
GCF of denominators i.e. for 587,468,178 is 1.
Thus, LCM of Fractions is 828240.Finally, LCM of Fractions for 70/587, 816/468, 145/178 is 828240.