Least Common Multiple of 32/546, 744/828, 838/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/546, 744/828, 838/558 quickly i.e. 207824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/546, 744/828, 838/558 is 207824.

LCM(32/546, 744/828, 838/558) = 207824

LCM of 32/546, 744/828, 838/558

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 32/546,744/828,838/558

Given numbers are 32/546,744/828,838/558

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 32,744,838

Least Common Multiple of Numerators i.e. LCM of 32,744,838 is 1246944.

GCF of Denominators means GCF of 546,828,558 as per the given fractions.

GCF of 546,828,558 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,744,838

LCM of Fractions 32/546,744/828,838/558 is 207824

2 32, 744, 838
2 16, 372, 419
2 8, 186, 419
4, 93, 419

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 93 x 419 = 1246944

Least Common Multiple of 32,744,838 with GCF Formula

Least Common Multiple of 32,744,838 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 32,744,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,744,838) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(32,744,838) x common factors =2 x 8 = 16

LCM(32,744,838) = ( 32 × 744 × 838 ) / 16

LCM(32,744,838) = 19951104 / 16

LCM(32,744,838) = 1246944


Lets's calculate GCF of 546,828,558

2 546, 828, 558
3 273, 414, 279
91, 138, 93

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1246944/6

Therefore the LCM of Fractions 32/546,744/828,838/558 is 207824

Greatest Common Factor of 546,828,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,828,558 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 546,828,558 . The biggest common factor number is the GCF number.
So the greatest common factor 546,828,558 is 6.


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 32/546, 744/828, 838/558

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 32/546, 744/828, 838/558?

Answer: LCM of Numerators as per given numbers 32/546, 744/828, 838/558 is

LCM of Numerators i.e. for 32,744,838 is 1246944

GCF of denominators i.e. for 546,828,558 is 6.

Thus, LCM of Fractions is 207824.Finally, LCM of Fractions for 32/546, 744/828, 838/558 is 207824.