Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 375/810, 2650/535 quickly i.e. 7950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 375/810, 2650/535 is 7950.
LCM(375/810, 2650/535) = 7950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 375/810,2650/535
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 375,2650
Least Common Multiple of Numerators i.e. LCM of 375,2650 is 39750.
GCF of Denominators means GCF of 810,535 as per the given fractions.
GCF of 810,535 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 375,2650
5 | 375, 2650 |
5 | 75, 530 |
15, 106 |
∴ So the LCM of the given numbers is 5 x 5 x 15 x 106 = 39750
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 375,2650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,2650) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(375,2650) x common factors =25 x 1 = 25
LCM(375,2650) = ( 375 × 2650 ) / 25
LCM(375,2650) = 993750 / 25
LCM(375,2650) = 39750
Lets's calculate GCF of 810,535
5 | 810, 535 |
162, 107 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39750/5
Therefore the LCM of Fractions 375/810,2650/535 is 7950
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 810,535 . The biggest common factor number is the GCF number.
So the greatest common factor 810,535 is 5.
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 375/810, 2650/535?
Answer: LCM of Numerators as per given numbers 375/810, 2650/535 is
LCM of Numerators i.e. for 375,2650 is 39750
GCF of denominators i.e. for 810,535 is 5.
Thus, LCM of Fractions is 7950.Finally, LCM of Fractions for 375/810, 2650/535 is 7950.