Least Common Multiple of 546/90, 174/14, 821/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/90, 174/14, 821/68 quickly i.e. 6499857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/90, 174/14, 821/68 is 6499857.

LCM(546/90, 174/14, 821/68) = 6499857

LCM of 546/90, 174/14, 821/68

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 546/90,174/14,821/68

Given numbers are 546/90,174/14,821/68

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 546,174,821

Least Common Multiple of Numerators i.e. LCM of 546,174,821 is 12999714.

GCF of Denominators means GCF of 90,14,68 as per the given fractions.

GCF of 90,14,68 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,174,821

LCM of Fractions 546/90,174/14,821/68 is 6499857

2 546, 174, 821
3 273, 87, 821
91, 29, 821

∴ So the LCM of the given numbers is 2 x 3 x 91 x 29 x 821 = 12999714

Least Common Multiple of 546,174,821 with GCF Formula

Least Common Multiple of 546,174,821 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 546,174,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,174,821) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(546,174,821) x common factors =1 x 6 = 6

LCM(546,174,821) = ( 546 × 174 × 821 ) / 6

LCM(546,174,821) = 77998284 / 6

LCM(546,174,821) = 12999714


Lets's calculate GCF of 90,14,68

2 90, 14, 68
45, 7, 34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12999714/2

Therefore the LCM of Fractions 546/90,174/14,821/68 is 6499857

Greatest Common Factor of 90,14,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,14,68 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 90,14,68 . The biggest common factor number is the GCF number.
So the greatest common factor 90,14,68 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 546/90, 174/14, 821/68

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 546/90, 174/14, 821/68?

Answer: LCM of Numerators as per given numbers 546/90, 174/14, 821/68 is

LCM of Numerators i.e. for 546,174,821 is 12999714

GCF of denominators i.e. for 90,14,68 is 2.

Thus, LCM of Fractions is 6499857.Finally, LCM of Fractions for 546/90, 174/14, 821/68 is 6499857.