Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/208, 862/356, 207/445 quickly i.e. 9457002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/208, 862/356, 207/445 is 9457002.
LCM(53/208, 862/356, 207/445) = 9457002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/208,862/356,207/445
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 53,862,207
Least Common Multiple of Numerators i.e. LCM of 53,862,207 is 9457002.
GCF of Denominators means GCF of 208,356,445 as per the given fractions.
GCF of 208,356,445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,862,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 9457002
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 53,862,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,862,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,862,207) x common factors =1 x 1 = 1
LCM(53,862,207) = ( 53 × 862 × 207 ) / 1
LCM(53,862,207) = 9457002 / 1
LCM(53,862,207) = 9457002
Lets's calculate GCF of 208,356,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9457002/1
Therefore the LCM of Fractions 53/208,862/356,207/445 is 9457002
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 208,356,445 . The biggest common factor number is the GCF number.
So the greatest common factor 208,356,445 is 1.
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 53/208, 862/356, 207/445?
Answer: LCM of Numerators as per given numbers 53/208, 862/356, 207/445 is
LCM of Numerators i.e. for 53,862,207 is 9457002
GCF of denominators i.e. for 208,356,445 is 1.
Thus, LCM of Fractions is 9457002.Finally, LCM of Fractions for 53/208, 862/356, 207/445 is 9457002.