Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/678, 729/129, 190/158 quickly i.e. 138510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/678, 729/129, 190/158 is 138510.
LCM(95/678, 729/129, 190/158) = 138510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/678,729/129,190/158
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 95,729,190
Least Common Multiple of Numerators i.e. LCM of 95,729,190 is 138510.
GCF of Denominators means GCF of 678,129,158 as per the given fractions.
GCF of 678,129,158 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,729,190
5 | 95, 729, 190 |
19 | 19, 729, 38 |
1, 729, 2 |
∴ So the LCM of the given numbers is 5 x 19 x 1 x 729 x 2 = 138510
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 95,729,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,729,190) = 1
common factors(in case of two or more numbers have common factors) = 95
GCF(95,729,190) x common factors =1 x 95 = 95
LCM(95,729,190) = ( 95 × 729 × 190 ) / 95
LCM(95,729,190) = 13158450 / 95
LCM(95,729,190) = 138510
Lets's calculate GCF of 678,129,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138510/1
Therefore the LCM of Fractions 95/678,729/129,190/158 is 138510
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 678,129,158 . The biggest common factor number is the GCF number.
So the greatest common factor 678,129,158 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 95/678, 729/129, 190/158?
Answer: LCM of Numerators as per given numbers 95/678, 729/129, 190/158 is
LCM of Numerators i.e. for 95,729,190 is 138510
GCF of denominators i.e. for 678,129,158 is 1.
Thus, LCM of Fractions is 138510.Finally, LCM of Fractions for 95/678, 729/129, 190/158 is 138510.