Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/447, 265/926, 669/980 quickly i.e. 24288045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/447, 265/926, 669/980 is 24288045.
LCM(685/447, 265/926, 669/980) = 24288045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/447,265/926,669/980
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 685,265,669
Least Common Multiple of Numerators i.e. LCM of 685,265,669 is 24288045.
GCF of Denominators means GCF of 447,926,980 as per the given fractions.
GCF of 447,926,980 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,265,669
5 | 685, 265, 669 |
137, 53, 669 |
∴ So the LCM of the given numbers is 5 x 137 x 53 x 669 = 24288045
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 685,265,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,265,669) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(685,265,669) x common factors =1 x 5 = 5
LCM(685,265,669) = ( 685 × 265 × 669 ) / 5
LCM(685,265,669) = 121440225 / 5
LCM(685,265,669) = 24288045
Lets's calculate GCF of 447,926,980
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24288045/1
Therefore the LCM of Fractions 685/447,265/926,669/980 is 24288045
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1,3,149,447
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 447,926,980 . The biggest common factor number is the GCF number.
So the greatest common factor 447,926,980 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 685/447, 265/926, 669/980?
Answer: LCM of Numerators as per given numbers 685/447, 265/926, 669/980 is
LCM of Numerators i.e. for 685,265,669 is 24288045
GCF of denominators i.e. for 447,926,980 is 1.
Thus, LCM of Fractions is 24288045.Finally, LCM of Fractions for 685/447, 265/926, 669/980 is 24288045.