Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/139, 546/647, 758/245 quickly i.e. 18417126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/139, 546/647, 758/245 is 18417126.
LCM(89/139, 546/647, 758/245) = 18417126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/139,546/647,758/245
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 89,546,758
Least Common Multiple of Numerators i.e. LCM of 89,546,758 is 18417126.
GCF of Denominators means GCF of 139,647,245 as per the given fractions.
GCF of 139,647,245 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,546,758
2 | 89, 546, 758 |
89, 273, 379 |
∴ So the LCM of the given numbers is 2 x 89 x 273 x 379 = 18417126
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 89,546,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,546,758) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,546,758) x common factors =1 x 2 = 2
LCM(89,546,758) = ( 89 × 546 × 758 ) / 2
LCM(89,546,758) = 36834252 / 2
LCM(89,546,758) = 18417126
Lets's calculate GCF of 139,647,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18417126/1
Therefore the LCM of Fractions 89/139,546/647,758/245 is 18417126
Factors of 139
List of positive integer factors of 139 that divides 139 without a remainder.
1,139
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 139,647,245 . The biggest common factor number is the GCF number.
So the greatest common factor 139,647,245 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 89/139, 546/647, 758/245?
Answer: LCM of Numerators as per given numbers 89/139, 546/647, 758/245 is
LCM of Numerators i.e. for 89,546,758 is 18417126
GCF of denominators i.e. for 139,647,245 is 1.
Thus, LCM of Fractions is 18417126.Finally, LCM of Fractions for 89/139, 546/647, 758/245 is 18417126.