Least Common Multiple of 1315/826, 1082/4143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1315/826, 1082/4143 quickly i.e. 1422830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1315/826, 1082/4143 is 1422830.

LCM(1315/826, 1082/4143) = 1422830

LCM of 1315/826, 1082/4143

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 1315/826,1082/4143

Given numbers are 1315/826,1082/4143

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 1315,1082

Least Common Multiple of Numerators i.e. LCM of 1315,1082 is 1422830.

GCF of Denominators means GCF of 826,4143 as per the given fractions.

GCF of 826,4143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1315,1082

LCM of Fractions 1315/826,1082/4143 is 1422830

Given numbers has no common factors except 1. So, there LCM is their product i.e 1422830

Least Common Multiple of 1315,1082 with GCF Formula

Least Common Multiple of 1315,1082 with GCF Formula

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 1315,1082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1315,1082) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1315,1082) x common factors =1 x 1 = 1

LCM(1315,1082) = ( 1315 × 1082 ) / 1

LCM(1315,1082) = 1422830 / 1

LCM(1315,1082) = 1422830


Lets's calculate GCF of 826,4143

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1422830/1

Therefore the LCM of Fractions 1315/826,1082/4143 is 1422830

Greatest Common Factor of 826,4143 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,4143 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 4143

List of positive integer factors of 4143 that divides 4143 without a remainder.

1,3,1381,4143

Greatest Common Factor

We found the factors 826,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 826,4143 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 1315/826, 1082/4143

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 1315/826, 1082/4143?

Answer: LCM of Numerators as per given numbers 1315/826, 1082/4143 is

LCM of Numerators i.e. for 1315,1082 is 1422830

GCF of denominators i.e. for 826,4143 is 1.

Thus, LCM of Fractions is 1422830.Finally, LCM of Fractions for 1315/826, 1082/4143 is 1422830.