Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/778, 937/648, 343/321 quickly i.e. 8356166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/778, 937/648, 343/321 is 8356166.
LCM(26/778, 937/648, 343/321) = 8356166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/778,937/648,343/321
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 26,937,343
Least Common Multiple of Numerators i.e. LCM of 26,937,343 is 8356166.
GCF of Denominators means GCF of 778,648,321 as per the given fractions.
GCF of 778,648,321 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,937,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 8356166
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 26,937,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,937,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,937,343) x common factors =1 x 1 = 1
LCM(26,937,343) = ( 26 × 937 × 343 ) / 1
LCM(26,937,343) = 8356166 / 1
LCM(26,937,343) = 8356166
Lets's calculate GCF of 778,648,321
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8356166/1
Therefore the LCM of Fractions 26/778,937/648,343/321 is 8356166
Factors of 778
List of positive integer factors of 778 that divides 778 without a remainder.
1,2,389,778
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Greatest Common Factor
We found the factors 778,648,321 . The biggest common factor number is the GCF number.
So the greatest common factor 778,648,321 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 26/778, 937/648, 343/321?
Answer: LCM of Numerators as per given numbers 26/778, 937/648, 343/321 is
LCM of Numerators i.e. for 26,937,343 is 8356166
GCF of denominators i.e. for 778,648,321 is 1.
Thus, LCM of Fractions is 8356166.Finally, LCM of Fractions for 26/778, 937/648, 343/321 is 8356166.