Least Common Multiple of 557/342, 5471/4870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 557/342, 5471/4870 quickly i.e. 3047347/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/342, 5471/4870 is 3047347/2.

LCM(557/342, 5471/4870) = 3047347/2

LCM of 557/342, 5471/4870

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 557/342,5471/4870

Given numbers are 557/342,5471/4870

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 557,5471

Least Common Multiple of Numerators i.e. LCM of 557,5471 is 3047347.

GCF of Denominators means GCF of 342,4870 as per the given fractions.

GCF of 342,4870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,5471

LCM of Fractions 557/342,5471/4870 is 3047347/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3047347

Least Common Multiple of 557,5471 with GCF Formula

Least Common Multiple of 557,5471 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 557,5471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,5471) = 1

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

GCF(557,5471) x common factors =1 x 1 = 1

LCM(557,5471) = ( 557 × 5471 ) / 1

LCM(557,5471) = 3047347 / 1

LCM(557,5471) = 3047347


Lets's calculate GCF of 342,4870

2 342, 4870
171, 2435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3047347/2

Therefore the LCM of Fractions 557/342,5471/4870 is 3047347/2

Greatest Common Factor of 342,4870 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,4870 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 4870

List of positive integer factors of 4870 that divides 4870 without a remainder.

1,2,5,10,487,974,2435,4870

Greatest Common Factor

We found the factors 342,4870 . The biggest common factor number is the GCF number.
So the greatest common factor 342,4870 is 2.


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 557/342, 5471/4870

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 557/342, 5471/4870?

Answer: LCM of Numerators as per given numbers 557/342, 5471/4870 is

LCM of Numerators i.e. for 557,5471 is 3047347

GCF of denominators i.e. for 342,4870 is 2.

Thus, LCM of Fractions is 3047347/2.Finally, LCM of Fractions for 557/342, 5471/4870 is 3047347/2.