Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3762/570, 9083/572 quickly i.e. 17085123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3762/570, 9083/572 is 17085123.
LCM(3762/570, 9083/572) = 17085123
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3762/570,9083/572
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 3762,9083
Least Common Multiple of Numerators i.e. LCM of 3762,9083 is 34170246.
GCF of Denominators means GCF of 570,572 as per the given fractions.
GCF of 570,572 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3762,9083
Given numbers has no common factors except 1. So, there LCM is their product i.e 34170246
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 3762,9083 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3762,9083) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3762,9083) x common factors =1 x 1 = 1
LCM(3762,9083) = ( 3762 × 9083 ) / 1
LCM(3762,9083) = 34170246 / 1
LCM(3762,9083) = 34170246
Lets's calculate GCF of 570,572
2 | 570, 572 |
285, 286 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34170246/2
Therefore the LCM of Fractions 3762/570,9083/572 is 17085123
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 570,572 . The biggest common factor number is the GCF number.
So the greatest common factor 570,572 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 3762/570, 9083/572?
Answer: LCM of Numerators as per given numbers 3762/570, 9083/572 is
LCM of Numerators i.e. for 3762,9083 is 34170246
GCF of denominators i.e. for 570,572 is 2.
Thus, LCM of Fractions is 17085123.Finally, LCM of Fractions for 3762/570, 9083/572 is 17085123.