Least Common Multiple of 6509/82, 8098/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6509/82, 8098/134 quickly i.e. 26354941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6509/82, 8098/134 is 26354941.

LCM(6509/82, 8098/134) = 26354941

LCM of 6509/82, 8098/134

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 6509/82,8098/134

Given numbers are 6509/82,8098/134

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 6509,8098

Least Common Multiple of Numerators i.e. LCM of 6509,8098 is 52709882.

GCF of Denominators means GCF of 82,134 as per the given fractions.

GCF of 82,134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6509,8098

LCM of Fractions 6509/82,8098/134 is 26354941

Given numbers has no common factors except 1. So, there LCM is their product i.e 52709882

Least Common Multiple of 6509,8098 with GCF Formula

Least Common Multiple of 6509,8098 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 6509,8098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6509,8098) = 1

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

GCF(6509,8098) x common factors =1 x 1 = 1

LCM(6509,8098) = ( 6509 × 8098 ) / 1

LCM(6509,8098) = 52709882 / 1

LCM(6509,8098) = 52709882


Lets's calculate GCF of 82,134

2 82, 134
41, 67

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52709882/2

Therefore the LCM of Fractions 6509/82,8098/134 is 26354941

Greatest Common Factor of 82,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,134 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 82,134 . The biggest common factor number is the GCF number.
So the greatest common factor 82,134 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6509/82, 8098/134

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 6509/82, 8098/134?

Answer: LCM of Numerators as per given numbers 6509/82, 8098/134 is

LCM of Numerators i.e. for 6509,8098 is 52709882

GCF of denominators i.e. for 82,134 is 2.

Thus, LCM of Fractions is 26354941.Finally, LCM of Fractions for 6509/82, 8098/134 is 26354941.