Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/158, 340/727, 850/220 quickly i.e. 32300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/158, 340/727, 850/220 is 32300.
LCM(95/158, 340/727, 850/220) = 32300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/158,340/727,850/220
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 95,340,850
Least Common Multiple of Numerators i.e. LCM of 95,340,850 is 32300.
GCF of Denominators means GCF of 158,727,220 as per the given fractions.
GCF of 158,727,220 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,340,850
2 | 95, 340, 850 |
5 | 95, 170, 425 |
17 | 19, 34, 85 |
19, 2, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 19 x 2 x 5 = 32300
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 95,340,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,340,850) = 5
common factors(in case of two or more numbers have common factors) = 170
GCF(95,340,850) x common factors =5 x 170 = 850
LCM(95,340,850) = ( 95 × 340 × 850 ) / 850
LCM(95,340,850) = 27455000 / 850
LCM(95,340,850) = 32300
Lets's calculate GCF of 158,727,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32300/1
Therefore the LCM of Fractions 95/158,340/727,850/220 is 32300
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 158,727,220 . The biggest common factor number is the GCF number.
So the greatest common factor 158,727,220 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 95/158, 340/727, 850/220?
Answer: LCM of Numerators as per given numbers 95/158, 340/727, 850/220 is
LCM of Numerators i.e. for 95,340,850 is 32300
GCF of denominators i.e. for 158,727,220 is 1.
Thus, LCM of Fractions is 32300.Finally, LCM of Fractions for 95/158, 340/727, 850/220 is 32300.