Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3231/936, 9203/702 quickly i.e. 29734893/234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3231/936, 9203/702 is 29734893/234.
LCM(3231/936, 9203/702) = 29734893/234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3231/936,9203/702
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 3231,9203
Least Common Multiple of Numerators i.e. LCM of 3231,9203 is 29734893.
GCF of Denominators means GCF of 936,702 as per the given fractions.
GCF of 936,702 is 234 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3231,9203
Given numbers has no common factors except 1. So, there LCM is their product i.e 29734893
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 3231,9203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3231,9203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3231,9203) x common factors =1 x 1 = 1
LCM(3231,9203) = ( 3231 × 9203 ) / 1
LCM(3231,9203) = 29734893 / 1
LCM(3231,9203) = 29734893
Lets's calculate GCF of 936,702
2 | 936, 702 |
3 | 468, 351 |
3 | 156, 117 |
13 | 52, 39 |
4, 3 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 13 = 234
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29734893/234
Therefore the LCM of Fractions 3231/936,9203/702 is 29734893/234
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
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
Greatest Common Factor
We found the factors 936,702 . The biggest common factor number is the GCF number.
So the greatest common factor 936,702 is 234.
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 3231/936, 9203/702?
Answer: LCM of Numerators as per given numbers 3231/936, 9203/702 is
LCM of Numerators i.e. for 3231,9203 is 29734893
GCF of denominators i.e. for 936,702 is 234.
Thus, LCM of Fractions is 29734893/234.Finally, LCM of Fractions for 3231/936, 9203/702 is 29734893/234.