Least Common Multiple of 546/92, 690/28, 999/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/92, 690/28, 999/56 quickly i.e. 20909070/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/92, 690/28, 999/56 is 20909070/4.

LCM(546/92, 690/28, 999/56) = 20909070/4

LCM of 546/92, 690/28, 999/56

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 546/92,690/28,999/56

Given numbers are 546/92,690/28,999/56

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 546,690,999

Least Common Multiple of Numerators i.e. LCM of 546,690,999 is 20909070.

GCF of Denominators means GCF of 92,28,56 as per the given fractions.

GCF of 92,28,56 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,690,999

LCM of Fractions 546/92,690/28,999/56 is 20909070/4

2 546, 690, 999
3 273, 345, 999
91, 115, 333

∴ So the LCM of the given numbers is 2 x 3 x 91 x 115 x 333 = 20909070

Least Common Multiple of 546,690,999 with GCF Formula

Least Common Multiple of 546,690,999 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 546,690,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,690,999) = 3

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

GCF(546,690,999) x common factors =3 x 6 = 18

LCM(546,690,999) = ( 546 × 690 × 999 ) / 18

LCM(546,690,999) = 376363260 / 18

LCM(546,690,999) = 20909070


Lets's calculate GCF of 92,28,56

2 92, 28, 56
2 46, 14, 28
23, 7, 14

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20909070/4

Therefore the LCM of Fractions 546/92,690/28,999/56 is 20909070/4

Greatest Common Factor of 92,28,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,28,56 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 92,28,56 . The biggest common factor number is the GCF number.
So the greatest common factor 92,28,56 is 4.


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 546/92, 690/28, 999/56

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 546/92, 690/28, 999/56?

Answer: LCM of Numerators as per given numbers 546/92, 690/28, 999/56 is

LCM of Numerators i.e. for 546,690,999 is 20909070

GCF of denominators i.e. for 92,28,56 is 4.

Thus, LCM of Fractions is 20909070/4.Finally, LCM of Fractions for 546/92, 690/28, 999/56 is 20909070/4.