Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/702, 1183/6453 quickly i.e. 8281/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/702, 1183/6453 is 8281/27.
LCM(637/702, 1183/6453) = 8281/27
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/702,1183/6453
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 637,1183
Least Common Multiple of Numerators i.e. LCM of 637,1183 is 8281.
GCF of Denominators means GCF of 702,6453 as per the given fractions.
GCF of 702,6453 is 27 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,1183
7 | 637, 1183 |
13 | 91, 169 |
7, 13 |
∴ So the LCM of the given numbers is 7 x 13 x 7 x 13 = 8281
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 637,1183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,1183) = 91
common factors(in case of two or more numbers have common factors) = 1
GCF(637,1183) x common factors =91 x 1 = 91
LCM(637,1183) = ( 637 × 1183 ) / 91
LCM(637,1183) = 753571 / 91
LCM(637,1183) = 8281
Lets's calculate GCF of 702,6453
3 | 702, 6453 |
3 | 234, 2151 |
3 | 78, 717 |
26, 239 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8281/27
Therefore the LCM of Fractions 637/702,1183/6453 is 8281/27
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 6453
List of positive integer factors of 6453 that divides 6453 without a remainder.
1,3,9,27,239,717,2151,6453
Greatest Common Factor
We found the factors 702,6453 . The biggest common factor number is the GCF number.
So the greatest common factor 702,6453 is 27.
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 637/702, 1183/6453?
Answer: LCM of Numerators as per given numbers 637/702, 1183/6453 is
LCM of Numerators i.e. for 637,1183 is 8281
GCF of denominators i.e. for 702,6453 is 27.
Thus, LCM of Fractions is 8281/27.Finally, LCM of Fractions for 637/702, 1183/6453 is 8281/27.