Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/980, 784/560, 349/324 quickly i.e. 889252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/980, 784/560, 349/324 is 889252.
LCM(26/980, 784/560, 349/324) = 889252
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/980,784/560,349/324
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 26,784,349
Least Common Multiple of Numerators i.e. LCM of 26,784,349 is 3557008.
GCF of Denominators means GCF of 980,560,324 as per the given fractions.
GCF of 980,560,324 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,784,349
2 | 26, 784, 349 |
13, 392, 349 |
∴ So the LCM of the given numbers is 2 x 13 x 392 x 349 = 3557008
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 26,784,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,784,349) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,784,349) x common factors =1 x 2 = 2
LCM(26,784,349) = ( 26 × 784 × 349 ) / 2
LCM(26,784,349) = 7114016 / 2
LCM(26,784,349) = 3557008
Lets's calculate GCF of 980,560,324
2 | 980, 560, 324 |
2 | 490, 280, 162 |
245, 140, 81 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3557008/4
Therefore the LCM of Fractions 26/980,784/560,349/324 is 889252
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
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 980,560,324 . The biggest common factor number is the GCF number.
So the greatest common factor 980,560,324 is 4.
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 26/980, 784/560, 349/324?
Answer: LCM of Numerators as per given numbers 26/980, 784/560, 349/324 is
LCM of Numerators i.e. for 26,784,349 is 3557008
GCF of denominators i.e. for 980,560,324 is 4.
Thus, LCM of Fractions is 889252.Finally, LCM of Fractions for 26/980, 784/560, 349/324 is 889252.