Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6452/351, 1080/262 quickly i.e. 1742040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6452/351, 1080/262 is 1742040.
LCM(6452/351, 1080/262) = 1742040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6452/351,1080/262
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 6452,1080
Least Common Multiple of Numerators i.e. LCM of 6452,1080 is 1742040.
GCF of Denominators means GCF of 351,262 as per the given fractions.
GCF of 351,262 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6452,1080
2 | 6452, 1080 |
2 | 3226, 540 |
1613, 270 |
∴ So the LCM of the given numbers is 2 x 2 x 1613 x 270 = 1742040
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 6452,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6452,1080) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6452,1080) x common factors =4 x 1 = 4
LCM(6452,1080) = ( 6452 × 1080 ) / 4
LCM(6452,1080) = 6968160 / 4
LCM(6452,1080) = 1742040
Lets's calculate GCF of 351,262
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1742040/1
Therefore the LCM of Fractions 6452/351,1080/262 is 1742040
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Greatest Common Factor
We found the factors 351,262 . The biggest common factor number is the GCF number.
So the greatest common factor 351,262 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 6452/351, 1080/262?
Answer: LCM of Numerators as per given numbers 6452/351, 1080/262 is
LCM of Numerators i.e. for 6452,1080 is 1742040
GCF of denominators i.e. for 351,262 is 1.
Thus, LCM of Fractions is 1742040.Finally, LCM of Fractions for 6452/351, 1080/262 is 1742040.