Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/914, 84/646, 469/877 quickly i.e. 545916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/914, 84/646, 469/877 is 545916.
LCM(97/914, 84/646, 469/877) = 545916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/914,84/646,469/877
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 97,84,469
Least Common Multiple of Numerators i.e. LCM of 97,84,469 is 545916.
GCF of Denominators means GCF of 914,646,877 as per the given fractions.
GCF of 914,646,877 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,84,469
7 | 97, 84, 469 |
97, 12, 67 |
∴ So the LCM of the given numbers is 7 x 97 x 12 x 67 = 545916
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 97,84,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,84,469) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(97,84,469) x common factors =1 x 7 = 7
LCM(97,84,469) = ( 97 × 84 × 469 ) / 7
LCM(97,84,469) = 3821412 / 7
LCM(97,84,469) = 545916
Lets's calculate GCF of 914,646,877
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545916/1
Therefore the LCM of Fractions 97/914,84/646,469/877 is 545916
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Greatest Common Factor
We found the factors 914,646,877 . The biggest common factor number is the GCF number.
So the greatest common factor 914,646,877 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 97/914, 84/646, 469/877?
Answer: LCM of Numerators as per given numbers 97/914, 84/646, 469/877 is
LCM of Numerators i.e. for 97,84,469 is 545916
GCF of denominators i.e. for 914,646,877 is 1.
Thus, LCM of Fractions is 545916.Finally, LCM of Fractions for 97/914, 84/646, 469/877 is 545916.