Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 436/770, 8304/143 quickly i.e. 905136/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 436/770, 8304/143 is 905136/11.
LCM(436/770, 8304/143) = 905136/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 436/770,8304/143
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 436,8304
Least Common Multiple of Numerators i.e. LCM of 436,8304 is 905136.
GCF of Denominators means GCF of 770,143 as per the given fractions.
GCF of 770,143 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 436,8304
2 | 436, 8304 |
2 | 218, 4152 |
109, 2076 |
∴ So the LCM of the given numbers is 2 x 2 x 109 x 2076 = 905136
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 436,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,8304) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(436,8304) x common factors =4 x 1 = 4
LCM(436,8304) = ( 436 × 8304 ) / 4
LCM(436,8304) = 3620544 / 4
LCM(436,8304) = 905136
Lets's calculate GCF of 770,143
11 | 770, 143 |
70, 13 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 905136/11
Therefore the LCM of Fractions 436/770,8304/143 is 905136/11
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 770,143 . The biggest common factor number is the GCF number.
So the greatest common factor 770,143 is 11.
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 436/770, 8304/143?
Answer: LCM of Numerators as per given numbers 436/770, 8304/143 is
LCM of Numerators i.e. for 436,8304 is 905136
GCF of denominators i.e. for 770,143 is 11.
Thus, LCM of Fractions is 905136/11.Finally, LCM of Fractions for 436/770, 8304/143 is 905136/11.