Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/805, 672/702, 937/511 quickly i.e. 61077408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/805, 672/702, 937/511 is 61077408.
LCM(97/805, 672/702, 937/511) = 61077408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/805,672/702,937/511
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 97,672,937
Least Common Multiple of Numerators i.e. LCM of 97,672,937 is 61077408.
GCF of Denominators means GCF of 805,702,511 as per the given fractions.
GCF of 805,702,511 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,672,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 61077408
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 97,672,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,672,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,672,937) x common factors =1 x 1 = 1
LCM(97,672,937) = ( 97 × 672 × 937 ) / 1
LCM(97,672,937) = 61077408 / 1
LCM(97,672,937) = 61077408
Lets's calculate GCF of 805,702,511
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61077408/1
Therefore the LCM of Fractions 97/805,672/702,937/511 is 61077408
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Greatest Common Factor
We found the factors 805,702,511 . The biggest common factor number is the GCF number.
So the greatest common factor 805,702,511 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 97/805, 672/702, 937/511?
Answer: LCM of Numerators as per given numbers 97/805, 672/702, 937/511 is
LCM of Numerators i.e. for 97,672,937 is 61077408
GCF of denominators i.e. for 805,702,511 is 1.
Thus, LCM of Fractions is 61077408.Finally, LCM of Fractions for 97/805, 672/702, 937/511 is 61077408.