Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/94, 97/65, 34/42, 82/829 quickly i.e. 6625682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/94, 97/65, 34/42, 82/829 is 6625682.
LCM(98/94, 97/65, 34/42, 82/829) = 6625682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/94,97/65,34/42,82/829
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 98,97,34,82
Least Common Multiple of Numerators i.e. LCM of 98,97,34,82 is 6625682.
GCF of Denominators means GCF of 94,65,42,829 as per the given fractions.
GCF of 94,65,42,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,97,34,82
2 | 98, 97, 34, 82 |
49, 97, 17, 41 |
∴ So the LCM of the given numbers is 2 x 49 x 97 x 17 x 41 = 6625682
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 98,97,34,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,97,34,82) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(98,97,34,82) x common factors =1 x 4 = 4
LCM(98,97,34,82) = ( 98 × 97 × 34 × 82 ) / 4
LCM(98,97,34,82) = 26502728 / 4
LCM(98,97,34,82) = 6625682
Lets's calculate GCF of 94,65,42,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6625682/1
Therefore the LCM of Fractions 98/94,97/65,34/42,82/829 is 6625682
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 94,65,42,829 . The biggest common factor number is the GCF number.
So the greatest common factor 94,65,42,829 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 98/94, 97/65, 34/42, 82/829?
Answer: LCM of Numerators as per given numbers 98/94, 97/65, 34/42, 82/829 is
LCM of Numerators i.e. for 98,97,34,82 is 6625682
GCF of denominators i.e. for 94,65,42,829 is 1.
Thus, LCM of Fractions is 6625682.Finally, LCM of Fractions for 98/94, 97/65, 34/42, 82/829 is 6625682.