Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2380/551, 6705/7526 quickly i.e. 3191580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2380/551, 6705/7526 is 3191580.
LCM(2380/551, 6705/7526) = 3191580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2380/551,6705/7526
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 2380,6705
Least Common Multiple of Numerators i.e. LCM of 2380,6705 is 3191580.
GCF of Denominators means GCF of 551,7526 as per the given fractions.
GCF of 551,7526 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2380,6705
5 | 2380, 6705 |
476, 1341 |
∴ So the LCM of the given numbers is 5 x 476 x 1341 = 3191580
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 2380,6705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2380,6705) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2380,6705) x common factors =5 x 1 = 5
LCM(2380,6705) = ( 2380 × 6705 ) / 5
LCM(2380,6705) = 15957900 / 5
LCM(2380,6705) = 3191580
Lets's calculate GCF of 551,7526
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3191580/1
Therefore the LCM of Fractions 2380/551,6705/7526 is 3191580
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 7526
List of positive integer factors of 7526 that divides 7526 without a remainder.
1,2,53,71,106,142,3763,7526
Greatest Common Factor
We found the factors 551,7526 . The biggest common factor number is the GCF number.
So the greatest common factor 551,7526 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 2380/551, 6705/7526?
Answer: LCM of Numerators as per given numbers 2380/551, 6705/7526 is
LCM of Numerators i.e. for 2380,6705 is 3191580
GCF of denominators i.e. for 551,7526 is 1.
Thus, LCM of Fractions is 3191580.Finally, LCM of Fractions for 2380/551, 6705/7526 is 3191580.