Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 979/759, 9279/3444 quickly i.e. 3028047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 979/759, 9279/3444 is 3028047.
LCM(979/759, 9279/3444) = 3028047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 979/759,9279/3444
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 979,9279
Least Common Multiple of Numerators i.e. LCM of 979,9279 is 9084141.
GCF of Denominators means GCF of 759,3444 as per the given fractions.
GCF of 759,3444 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 979,9279
Given numbers has no common factors except 1. So, there LCM is their product i.e 9084141
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 979,9279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,9279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,9279) x common factors =1 x 1 = 1
LCM(979,9279) = ( 979 × 9279 ) / 1
LCM(979,9279) = 9084141 / 1
LCM(979,9279) = 9084141
Lets's calculate GCF of 759,3444
3 | 759, 3444 |
253, 1148 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9084141/3
Therefore the LCM of Fractions 979/759,9279/3444 is 3028047
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 3444
List of positive integer factors of 3444 that divides 3444 without a remainder.
1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 759,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 759,3444 is 3.
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 979/759, 9279/3444?
Answer: LCM of Numerators as per given numbers 979/759, 9279/3444 is
LCM of Numerators i.e. for 979,9279 is 9084141
GCF of denominators i.e. for 759,3444 is 3.
Thus, LCM of Fractions is 3028047.Finally, LCM of Fractions for 979/759, 9279/3444 is 3028047.