Least Common Multiple of 893/342, 5107/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 893/342, 5107/459 quickly i.e. 4560551/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 893/342, 5107/459 is 4560551/9.

LCM(893/342, 5107/459) = 4560551/9

LCM of 893/342, 5107/459

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 893/342,5107/459

Given numbers are 893/342,5107/459

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 893,5107

Least Common Multiple of Numerators i.e. LCM of 893,5107 is 4560551.

GCF of Denominators means GCF of 342,459 as per the given fractions.

GCF of 342,459 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 893,5107

LCM of Fractions 893/342,5107/459 is 4560551/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 4560551

Least Common Multiple of 893,5107 with GCF Formula

Least Common Multiple of 893,5107 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 893,5107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,5107) = 1

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

GCF(893,5107) x common factors =1 x 1 = 1

LCM(893,5107) = ( 893 × 5107 ) / 1

LCM(893,5107) = 4560551 / 1

LCM(893,5107) = 4560551


Lets's calculate GCF of 342,459

3 342, 459
3 114, 153
38, 51

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4560551/9

Therefore the LCM of Fractions 893/342,5107/459 is 4560551/9

Greatest Common Factor of 342,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,459 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 342,459 . The biggest common factor number is the GCF number.
So the greatest common factor 342,459 is 9.


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 893/342, 5107/459

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 893/342, 5107/459?

Answer: LCM of Numerators as per given numbers 893/342, 5107/459 is

LCM of Numerators i.e. for 893,5107 is 4560551

GCF of denominators i.e. for 342,459 is 9.

Thus, LCM of Fractions is 4560551/9.Finally, LCM of Fractions for 893/342, 5107/459 is 4560551/9.