Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/85, 70/30, 545/689 quickly i.e. 99190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/85, 70/30, 545/689 is 99190.
LCM(65/85, 70/30, 545/689) = 99190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/85,70/30,545/689
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 65,70,545
Least Common Multiple of Numerators i.e. LCM of 65,70,545 is 99190.
GCF of Denominators means GCF of 85,30,689 as per the given fractions.
GCF of 85,30,689 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,70,545
5 | 65, 70, 545 |
13, 14, 109 |
∴ So the LCM of the given numbers is 5 x 13 x 14 x 109 = 99190
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 65,70,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,70,545) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(65,70,545) x common factors =5 x 5 = 25
LCM(65,70,545) = ( 65 × 70 × 545 ) / 25
LCM(65,70,545) = 2479750 / 25
LCM(65,70,545) = 99190
Lets's calculate GCF of 85,30,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99190/1
Therefore the LCM of Fractions 65/85,70/30,545/689 is 99190
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors 85,30,689 . The biggest common factor number is the GCF number.
So the greatest common factor 85,30,689 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 65/85, 70/30, 545/689?
Answer: LCM of Numerators as per given numbers 65/85, 70/30, 545/689 is
LCM of Numerators i.e. for 65,70,545 is 99190
GCF of denominators i.e. for 85,30,689 is 1.
Thus, LCM of Fractions is 99190.Finally, LCM of Fractions for 65/85, 70/30, 545/689 is 99190.