Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/592, 882/549, 859/719 quickly i.e. 9849294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/592, 882/549, 859/719 is 9849294.
LCM(91/592, 882/549, 859/719) = 9849294
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/592,882/549,859/719
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 91,882,859
Least Common Multiple of Numerators i.e. LCM of 91,882,859 is 9849294.
GCF of Denominators means GCF of 592,549,719 as per the given fractions.
GCF of 592,549,719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,882,859
7 | 91, 882, 859 |
13, 126, 859 |
∴ So the LCM of the given numbers is 7 x 13 x 126 x 859 = 9849294
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 91,882,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,882,859) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(91,882,859) x common factors =1 x 7 = 7
LCM(91,882,859) = ( 91 × 882 × 859 ) / 7
LCM(91,882,859) = 68945058 / 7
LCM(91,882,859) = 9849294
Lets's calculate GCF of 592,549,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9849294/1
Therefore the LCM of Fractions 91/592,882/549,859/719 is 9849294
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 592,549,719 . The biggest common factor number is the GCF number.
So the greatest common factor 592,549,719 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 91/592, 882/549, 859/719?
Answer: LCM of Numerators as per given numbers 91/592, 882/549, 859/719 is
LCM of Numerators i.e. for 91,882,859 is 9849294
GCF of denominators i.e. for 592,549,719 is 1.
Thus, LCM of Fractions is 9849294.Finally, LCM of Fractions for 91/592, 882/549, 859/719 is 9849294.