Least Common Multiple of 548/44, 279/54, 838/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/44, 279/54, 838/68 quickly i.e. 32030874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/44, 279/54, 838/68 is 32030874.

LCM(548/44, 279/54, 838/68) = 32030874

LCM of 548/44, 279/54, 838/68

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 548/44,279/54,838/68

Given numbers are 548/44,279/54,838/68

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 548,279,838

Least Common Multiple of Numerators i.e. LCM of 548,279,838 is 64061748.

GCF of Denominators means GCF of 44,54,68 as per the given fractions.

GCF of 44,54,68 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,279,838

LCM of Fractions 548/44,279/54,838/68 is 32030874

2 548, 279, 838
274, 279, 419

∴ So the LCM of the given numbers is 2 x 274 x 279 x 419 = 64061748

Least Common Multiple of 548,279,838 with GCF Formula

Least Common Multiple of 548,279,838 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 548,279,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,279,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(548,279,838) x common factors =1 x 2 = 2

LCM(548,279,838) = ( 548 × 279 × 838 ) / 2

LCM(548,279,838) = 128123496 / 2

LCM(548,279,838) = 64061748


Lets's calculate GCF of 44,54,68

2 44, 54, 68
22, 27, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64061748/2

Therefore the LCM of Fractions 548/44,279/54,838/68 is 32030874

Greatest Common Factor of 44,54,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,54,68 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 44,54,68 . The biggest common factor number is the GCF number.
So the greatest common factor 44,54,68 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 548/44, 279/54, 838/68

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 548/44, 279/54, 838/68?

Answer: LCM of Numerators as per given numbers 548/44, 279/54, 838/68 is

LCM of Numerators i.e. for 548,279,838 is 64061748

GCF of denominators i.e. for 44,54,68 is 2.

Thus, LCM of Fractions is 32030874.Finally, LCM of Fractions for 548/44, 279/54, 838/68 is 32030874.