Least Common Multiple of 54/867, 38/851, 838/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/867, 38/851, 838/488 quickly i.e. 429894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/867, 38/851, 838/488 is 429894.

LCM(54/867, 38/851, 838/488) = 429894

LCM of 54/867, 38/851, 838/488

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 54/867,38/851,838/488

Given numbers are 54/867,38/851,838/488

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 54,38,838

Least Common Multiple of Numerators i.e. LCM of 54,38,838 is 429894.

GCF of Denominators means GCF of 867,851,488 as per the given fractions.

GCF of 867,851,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,38,838

LCM of Fractions 54/867,38/851,838/488 is 429894

2 54, 38, 838
27, 19, 419

∴ So the LCM of the given numbers is 2 x 27 x 19 x 419 = 429894

Least Common Multiple of 54,38,838 with GCF Formula

Least Common Multiple of 54,38,838 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 54,38,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,38,838) = 2

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

GCF(54,38,838) x common factors =2 x 2 = 4

LCM(54,38,838) = ( 54 × 38 × 838 ) / 4

LCM(54,38,838) = 1719576 / 4

LCM(54,38,838) = 429894


Lets's calculate GCF of 867,851,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429894/1

Therefore the LCM of Fractions 54/867,38/851,838/488 is 429894

Greatest Common Factor of 867,851,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,851,488 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 867,851,488 . The biggest common factor number is the GCF number.
So the greatest common factor 867,851,488 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 54/867, 38/851, 838/488

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 54/867, 38/851, 838/488?

Answer: LCM of Numerators as per given numbers 54/867, 38/851, 838/488 is

LCM of Numerators i.e. for 54,38,838 is 429894

GCF of denominators i.e. for 867,851,488 is 1.

Thus, LCM of Fractions is 429894.Finally, LCM of Fractions for 54/867, 38/851, 838/488 is 429894.