Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/450, 262/173, 892/530 quickly i.e. 10633532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/450, 262/173, 892/530 is 10633532.
LCM(91/450, 262/173, 892/530) = 10633532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/450,262/173,892/530
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 91,262,892
Least Common Multiple of Numerators i.e. LCM of 91,262,892 is 10633532.
GCF of Denominators means GCF of 450,173,530 as per the given fractions.
GCF of 450,173,530 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,262,892
2 | 91, 262, 892 |
91, 131, 446 |
∴ So the LCM of the given numbers is 2 x 91 x 131 x 446 = 10633532
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 91,262,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,262,892) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(91,262,892) x common factors =1 x 2 = 2
LCM(91,262,892) = ( 91 × 262 × 892 ) / 2
LCM(91,262,892) = 21267064 / 2
LCM(91,262,892) = 10633532
Lets's calculate GCF of 450,173,530
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10633532/1
Therefore the LCM of Fractions 91/450,262/173,892/530 is 10633532
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 450,173,530 . The biggest common factor number is the GCF number.
So the greatest common factor 450,173,530 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 91/450, 262/173, 892/530?
Answer: LCM of Numerators as per given numbers 91/450, 262/173, 892/530 is
LCM of Numerators i.e. for 91,262,892 is 10633532
GCF of denominators i.e. for 450,173,530 is 1.
Thus, LCM of Fractions is 10633532.Finally, LCM of Fractions for 91/450, 262/173, 892/530 is 10633532.