Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 958/182, 900/214, 420/695 quickly i.e. 3017700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 958/182, 900/214, 420/695 is 3017700.
LCM(958/182, 900/214, 420/695) = 3017700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 958/182,900/214,420/695
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 958,900,420
Least Common Multiple of Numerators i.e. LCM of 958,900,420 is 3017700.
GCF of Denominators means GCF of 182,214,695 as per the given fractions.
GCF of 182,214,695 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 958,900,420
2 | 958, 900, 420 |
2 | 479, 450, 210 |
3 | 479, 225, 105 |
5 | 479, 75, 35 |
479, 15, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 479 x 15 x 7 = 3017700
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 958,900,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,900,420) = 2
common factors(in case of two or more numbers have common factors) = 60
GCF(958,900,420) x common factors =2 x 60 = 120
LCM(958,900,420) = ( 958 × 900 × 420 ) / 120
LCM(958,900,420) = 362124000 / 120
LCM(958,900,420) = 3017700
Lets's calculate GCF of 182,214,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3017700/1
Therefore the LCM of Fractions 958/182,900/214,420/695 is 3017700
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Greatest Common Factor
We found the factors 182,214,695 . The biggest common factor number is the GCF number.
So the greatest common factor 182,214,695 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 958/182, 900/214, 420/695?
Answer: LCM of Numerators as per given numbers 958/182, 900/214, 420/695 is
LCM of Numerators i.e. for 958,900,420 is 3017700
GCF of denominators i.e. for 182,214,695 is 1.
Thus, LCM of Fractions is 3017700.Finally, LCM of Fractions for 958/182, 900/214, 420/695 is 3017700.