Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8450/692, 8318/9070 quickly i.e. 17571775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8450/692, 8318/9070 is 17571775.
LCM(8450/692, 8318/9070) = 17571775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8450/692,8318/9070
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 8450,8318
Least Common Multiple of Numerators i.e. LCM of 8450,8318 is 35143550.
GCF of Denominators means GCF of 692,9070 as per the given fractions.
GCF of 692,9070 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8450,8318
2 | 8450, 8318 |
4225, 4159 |
∴ So the LCM of the given numbers is 2 x 4225 x 4159 = 35143550
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 8450,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8450,8318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8450,8318) x common factors =2 x 1 = 2
LCM(8450,8318) = ( 8450 × 8318 ) / 2
LCM(8450,8318) = 70287100 / 2
LCM(8450,8318) = 35143550
Lets's calculate GCF of 692,9070
2 | 692, 9070 |
346, 4535 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35143550/2
Therefore the LCM of Fractions 8450/692,8318/9070 is 17571775
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 9070
List of positive integer factors of 9070 that divides 9070 without a remainder.
1,2,5,10,907,1814,4535,9070
Greatest Common Factor
We found the factors 692,9070 . The biggest common factor number is the GCF number.
So the greatest common factor 692,9070 is 2.
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 8450/692, 8318/9070?
Answer: LCM of Numerators as per given numbers 8450/692, 8318/9070 is
LCM of Numerators i.e. for 8450,8318 is 35143550
GCF of denominators i.e. for 692,9070 is 2.
Thus, LCM of Fractions is 17571775.Finally, LCM of Fractions for 8450/692, 8318/9070 is 17571775.