Least Common Multiple of 557/344, 7794/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/344, 7794/145 quickly i.e. 4341258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/344, 7794/145 is 4341258.

LCM(557/344, 7794/145) = 4341258

LCM of 557/344, 7794/145

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 557/344,7794/145

Given numbers are 557/344,7794/145

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 557,7794

Least Common Multiple of Numerators i.e. LCM of 557,7794 is 4341258.

GCF of Denominators means GCF of 344,145 as per the given fractions.

GCF of 344,145 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,7794

LCM of Fractions 557/344,7794/145 is 4341258

Given numbers has no common factors except 1. So, there LCM is their product i.e 4341258

Least Common Multiple of 557,7794 with GCF Formula

Least Common Multiple of 557,7794 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 557,7794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,7794) = 1

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

GCF(557,7794) x common factors =1 x 1 = 1

LCM(557,7794) = ( 557 × 7794 ) / 1

LCM(557,7794) = 4341258 / 1

LCM(557,7794) = 4341258


Lets's calculate GCF of 344,145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4341258/1

Therefore the LCM of Fractions 557/344,7794/145 is 4341258

Greatest Common Factor of 344,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,145 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 344,145 . The biggest common factor number is the GCF number.
So the greatest common factor 344,145 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 557/344, 7794/145

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 557/344, 7794/145?

Answer: LCM of Numerators as per given numbers 557/344, 7794/145 is

LCM of Numerators i.e. for 557,7794 is 4341258

GCF of denominators i.e. for 344,145 is 1.

Thus, LCM of Fractions is 4341258.Finally, LCM of Fractions for 557/344, 7794/145 is 4341258.