Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 907/542, 5097/157 quickly i.e. 4622979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 907/542, 5097/157 is 4622979.
LCM(907/542, 5097/157) = 4622979
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 907/542,5097/157
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 907,5097
Least Common Multiple of Numerators i.e. LCM of 907,5097 is 4622979.
GCF of Denominators means GCF of 542,157 as per the given fractions.
GCF of 542,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 907,5097
Given numbers has no common factors except 1. So, there LCM is their product i.e 4622979
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 907,5097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,5097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,5097) x common factors =1 x 1 = 1
LCM(907,5097) = ( 907 × 5097 ) / 1
LCM(907,5097) = 4622979 / 1
LCM(907,5097) = 4622979
Lets's calculate GCF of 542,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4622979/1
Therefore the LCM of Fractions 907/542,5097/157 is 4622979
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 542,157 . The biggest common factor number is the GCF number.
So the greatest common factor 542,157 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 907/542, 5097/157?
Answer: LCM of Numerators as per given numbers 907/542, 5097/157 is
LCM of Numerators i.e. for 907,5097 is 4622979
GCF of denominators i.e. for 542,157 is 1.
Thus, LCM of Fractions is 4622979.Finally, LCM of Fractions for 907/542, 5097/157 is 4622979.