Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 903/562, 520/852, 293/237 quickly i.e. 137581080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 903/562, 520/852, 293/237 is 137581080.
LCM(903/562, 520/852, 293/237) = 137581080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 903/562,520/852,293/237
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 903,520,293
Least Common Multiple of Numerators i.e. LCM of 903,520,293 is 137581080.
GCF of Denominators means GCF of 562,852,237 as per the given fractions.
GCF of 562,852,237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 903,520,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 137581080
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 903,520,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,520,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,520,293) x common factors =1 x 1 = 1
LCM(903,520,293) = ( 903 × 520 × 293 ) / 1
LCM(903,520,293) = 137581080 / 1
LCM(903,520,293) = 137581080
Lets's calculate GCF of 562,852,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137581080/1
Therefore the LCM of Fractions 903/562,520/852,293/237 is 137581080
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 562,852,237 . The biggest common factor number is the GCF number.
So the greatest common factor 562,852,237 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 903/562, 520/852, 293/237?
Answer: LCM of Numerators as per given numbers 903/562, 520/852, 293/237 is
LCM of Numerators i.e. for 903,520,293 is 137581080
GCF of denominators i.e. for 562,852,237 is 1.
Thus, LCM of Fractions is 137581080.Finally, LCM of Fractions for 903/562, 520/852, 293/237 is 137581080.