Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 702/340, 378/955, 756/337 quickly i.e. 9828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 702/340, 378/955, 756/337 is 9828.
LCM(702/340, 378/955, 756/337) = 9828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 702/340,378/955,756/337
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 702,378,756
Least Common Multiple of Numerators i.e. LCM of 702,378,756 is 9828.
GCF of Denominators means GCF of 340,955,337 as per the given fractions.
GCF of 340,955,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 702,378,756
2 | 702, 378, 756 |
3 | 351, 189, 378 |
3 | 117, 63, 126 |
3 | 39, 21, 42 |
7 | 13, 7, 14 |
13, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 13 x 1 x 2 = 9828
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 702,378,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,378,756) = 54
common factors(in case of two or more numbers have common factors) = 378
GCF(702,378,756) x common factors =54 x 378 = 20412
LCM(702,378,756) = ( 702 × 378 × 756 ) / 20412
LCM(702,378,756) = 200609136 / 20412
LCM(702,378,756) = 9828
Lets's calculate GCF of 340,955,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9828/1
Therefore the LCM of Fractions 702/340,378/955,756/337 is 9828
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 340,955,337 . The biggest common factor number is the GCF number.
So the greatest common factor 340,955,337 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 702/340, 378/955, 756/337?
Answer: LCM of Numerators as per given numbers 702/340, 378/955, 756/337 is
LCM of Numerators i.e. for 702,378,756 is 9828
GCF of denominators i.e. for 340,955,337 is 1.
Thus, LCM of Fractions is 9828.Finally, LCM of Fractions for 702/340, 378/955, 756/337 is 9828.