Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 853/693, 713/624, 630/615 quickly i.e. 127719690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 853/693, 713/624, 630/615 is 127719690.
LCM(853/693, 713/624, 630/615) = 127719690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 853/693,713/624,630/615
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 853,713,630
Least Common Multiple of Numerators i.e. LCM of 853,713,630 is 383159070.
GCF of Denominators means GCF of 693,624,615 as per the given fractions.
GCF of 693,624,615 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 853,713,630
Given numbers has no common factors except 1. So, there LCM is their product i.e 383159070
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 853,713,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,713,630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,713,630) x common factors =1 x 1 = 1
LCM(853,713,630) = ( 853 × 713 × 630 ) / 1
LCM(853,713,630) = 383159070 / 1
LCM(853,713,630) = 383159070
Lets's calculate GCF of 693,624,615
3 | 693, 624, 615 |
231, 208, 205 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383159070/3
Therefore the LCM of Fractions 853/693,713/624,630/615 is 127719690
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 693,624,615 . The biggest common factor number is the GCF number.
So the greatest common factor 693,624,615 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 853/693, 713/624, 630/615?
Answer: LCM of Numerators as per given numbers 853/693, 713/624, 630/615 is
LCM of Numerators i.e. for 853,713,630 is 383159070
GCF of denominators i.e. for 693,624,615 is 3.
Thus, LCM of Fractions is 127719690.Finally, LCM of Fractions for 853/693, 713/624, 630/615 is 127719690.