Least Common Multiple of 548/49, 706/2042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/49, 706/2042 quickly i.e. 193444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/49, 706/2042 is 193444.

LCM(548/49, 706/2042) = 193444

LCM of 548/49, 706/2042

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 548/49,706/2042

Given numbers are 548/49,706/2042

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 548,706

Least Common Multiple of Numerators i.e. LCM of 548,706 is 193444.

GCF of Denominators means GCF of 49,2042 as per the given fractions.

GCF of 49,2042 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,706

LCM of Fractions 548/49,706/2042 is 193444

2 548, 706
274, 353

∴ So the LCM of the given numbers is 2 x 274 x 353 = 193444

Least Common Multiple of 548,706 with GCF Formula

Least Common Multiple of 548,706 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 548,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,706) = 2

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

GCF(548,706) x common factors =2 x 1 = 2

LCM(548,706) = ( 548 × 706 ) / 2

LCM(548,706) = 386888 / 2

LCM(548,706) = 193444


Lets's calculate GCF of 49,2042

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193444/1

Therefore the LCM of Fractions 548/49,706/2042 is 193444

Greatest Common Factor of 49,2042 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,2042 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 2042

List of positive integer factors of 2042 that divides 2042 without a remainder.

1,2,1021,2042

Greatest Common Factor

We found the factors 49,2042 . The biggest common factor number is the GCF number.
So the greatest common factor 49,2042 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 548/49, 706/2042

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 548/49, 706/2042?

Answer: LCM of Numerators as per given numbers 548/49, 706/2042 is

LCM of Numerators i.e. for 548,706 is 193444

GCF of denominators i.e. for 49,2042 is 1.

Thus, LCM of Fractions is 193444.Finally, LCM of Fractions for 548/49, 706/2042 is 193444.