Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/642, 5150/3467 quickly i.e. 468650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/642, 5150/3467 is 468650.
LCM(91/642, 5150/3467) = 468650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/642,5150/3467
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 91,5150
Least Common Multiple of Numerators i.e. LCM of 91,5150 is 468650.
GCF of Denominators means GCF of 642,3467 as per the given fractions.
GCF of 642,3467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,5150
Given numbers has no common factors except 1. So, there LCM is their product i.e 468650
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 91,5150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,5150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,5150) x common factors =1 x 1 = 1
LCM(91,5150) = ( 91 × 5150 ) / 1
LCM(91,5150) = 468650 / 1
LCM(91,5150) = 468650
Lets's calculate GCF of 642,3467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 468650/1
Therefore the LCM of Fractions 91/642,5150/3467 is 468650
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 3467
List of positive integer factors of 3467 that divides 3467 without a remainder.
1,3467
Greatest Common Factor
We found the factors 642,3467 . The biggest common factor number is the GCF number.
So the greatest common factor 642,3467 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 91/642, 5150/3467?
Answer: LCM of Numerators as per given numbers 91/642, 5150/3467 is
LCM of Numerators i.e. for 91,5150 is 468650
GCF of denominators i.e. for 642,3467 is 1.
Thus, LCM of Fractions is 468650.Finally, LCM of Fractions for 91/642, 5150/3467 is 468650.