Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/567, 901/546, 270/473 quickly i.e. 23597190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/567, 901/546, 270/473 is 23597190.
LCM(97/567, 901/546, 270/473) = 23597190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/567,901/546,270/473
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 97,901,270
Least Common Multiple of Numerators i.e. LCM of 97,901,270 is 23597190.
GCF of Denominators means GCF of 567,546,473 as per the given fractions.
GCF of 567,546,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,901,270
Given numbers has no common factors except 1. So, there LCM is their product i.e 23597190
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 97,901,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,901,270) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,901,270) x common factors =1 x 1 = 1
LCM(97,901,270) = ( 97 × 901 × 270 ) / 1
LCM(97,901,270) = 23597190 / 1
LCM(97,901,270) = 23597190
Lets's calculate GCF of 567,546,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23597190/1
Therefore the LCM of Fractions 97/567,901/546,270/473 is 23597190
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 567,546,473 . The biggest common factor number is the GCF number.
So the greatest common factor 567,546,473 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 97/567, 901/546, 270/473?
Answer: LCM of Numerators as per given numbers 97/567, 901/546, 270/473 is
LCM of Numerators i.e. for 97,901,270 is 23597190
GCF of denominators i.e. for 567,546,473 is 1.
Thus, LCM of Fractions is 23597190.Finally, LCM of Fractions for 97/567, 901/546, 270/473 is 23597190.