Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/56, 69/49, 79/141 quickly i.e. 485139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/56, 69/49, 79/141 is 485139.
LCM(89/56, 69/49, 79/141) = 485139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/56,69/49,79/141
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 89,69,79
Least Common Multiple of Numerators i.e. LCM of 89,69,79 is 485139.
GCF of Denominators means GCF of 56,49,141 as per the given fractions.
GCF of 56,49,141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,69,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 485139
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 89,69,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,69,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,69,79) x common factors =1 x 1 = 1
LCM(89,69,79) = ( 89 × 69 × 79 ) / 1
LCM(89,69,79) = 485139 / 1
LCM(89,69,79) = 485139
Lets's calculate GCF of 56,49,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485139/1
Therefore the LCM of Fractions 89/56,69/49,79/141 is 485139
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Greatest Common Factor
We found the factors 56,49,141 . The biggest common factor number is the GCF number.
So the greatest common factor 56,49,141 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 89/56, 69/49, 79/141?
Answer: LCM of Numerators as per given numbers 89/56, 69/49, 79/141 is
LCM of Numerators i.e. for 89,69,79 is 485139
GCF of denominators i.e. for 56,49,141 is 1.
Thus, LCM of Fractions is 485139.Finally, LCM of Fractions for 89/56, 69/49, 79/141 is 485139.