Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/722, 106/834, 611/326 quickly i.e. 1586767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/722, 106/834, 611/326 is 1586767.
LCM(98/722, 106/834, 611/326) = 1586767
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/722,106/834,611/326
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 98,106,611
Least Common Multiple of Numerators i.e. LCM of 98,106,611 is 3173534.
GCF of Denominators means GCF of 722,834,326 as per the given fractions.
GCF of 722,834,326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,106,611
2 | 98, 106, 611 |
49, 53, 611 |
∴ So the LCM of the given numbers is 2 x 49 x 53 x 611 = 3173534
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 98,106,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,106,611) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,106,611) x common factors =1 x 2 = 2
LCM(98,106,611) = ( 98 × 106 × 611 ) / 2
LCM(98,106,611) = 6347068 / 2
LCM(98,106,611) = 3173534
Lets's calculate GCF of 722,834,326
2 | 722, 834, 326 |
361, 417, 163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3173534/2
Therefore the LCM of Fractions 98/722,106/834,611/326 is 1586767
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 722,834,326 . The biggest common factor number is the GCF number.
So the greatest common factor 722,834,326 is 2.
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 98/722, 106/834, 611/326?
Answer: LCM of Numerators as per given numbers 98/722, 106/834, 611/326 is
LCM of Numerators i.e. for 98,106,611 is 3173534
GCF of denominators i.e. for 722,834,326 is 2.
Thus, LCM of Fractions is 1586767.Finally, LCM of Fractions for 98/722, 106/834, 611/326 is 1586767.