Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/94, 61/65, 17/78, 29/546 quickly i.e. 2676497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/94, 61/65, 17/78, 29/546 is 2676497.
LCM(89/94, 61/65, 17/78, 29/546) = 2676497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/94,61/65,17/78,29/546
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 89,61,17,29
Least Common Multiple of Numerators i.e. LCM of 89,61,17,29 is 2676497.
GCF of Denominators means GCF of 94,65,78,546 as per the given fractions.
GCF of 94,65,78,546 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,61,17,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 2676497
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 89,61,17,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,61,17,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,61,17,29) x common factors =1 x 1 = 1
LCM(89,61,17,29) = ( 89 × 61 × 17 × 29 ) / 1
LCM(89,61,17,29) = 2676497 / 1
LCM(89,61,17,29) = 2676497
Lets's calculate GCF of 94,65,78,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2676497/1
Therefore the LCM of Fractions 89/94,61/65,17/78,29/546 is 2676497
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 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 94,65,78,546 . The biggest common factor number is the GCF number.
So the greatest common factor 94,65,78,546 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 89/94, 61/65, 17/78, 29/546?
Answer: LCM of Numerators as per given numbers 89/94, 61/65, 17/78, 29/546 is
LCM of Numerators i.e. for 89,61,17,29 is 2676497
GCF of denominators i.e. for 94,65,78,546 is 1.
Thus, LCM of Fractions is 2676497.Finally, LCM of Fractions for 89/94, 61/65, 17/78, 29/546 is 2676497.