Least Common Multiple of 486/28, 670/3090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/28, 670/3090 quickly i.e. 81405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/28, 670/3090 is 81405.

LCM(486/28, 670/3090) = 81405

LCM of 486/28, 670/3090

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 486/28,670/3090

Given numbers are 486/28,670/3090

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 486,670

Least Common Multiple of Numerators i.e. LCM of 486,670 is 162810.

GCF of Denominators means GCF of 28,3090 as per the given fractions.

GCF of 28,3090 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,670

LCM of Fractions 486/28,670/3090 is 81405

2 486, 670
243, 335

∴ So the LCM of the given numbers is 2 x 243 x 335 = 162810

Least Common Multiple of 486,670 with GCF Formula

Least Common Multiple of 486,670 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 486,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,670) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(486,670) x common factors =2 x 1 = 2

LCM(486,670) = ( 486 × 670 ) / 2

LCM(486,670) = 325620 / 2

LCM(486,670) = 162810


Lets's calculate GCF of 28,3090

2 28, 3090
14, 1545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162810/2

Therefore the LCM of Fractions 486/28,670/3090 is 81405

Greatest Common Factor of 28,3090 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,3090 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 3090

List of positive integer factors of 3090 that divides 3090 without a remainder.

1,2,3,5,6,10,15,30,103,206,309,515,618,1030,1545,3090

Greatest Common Factor

We found the factors 28,3090 . The biggest common factor number is the GCF number.
So the greatest common factor 28,3090 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 486/28, 670/3090

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 486/28, 670/3090?

Answer: LCM of Numerators as per given numbers 486/28, 670/3090 is

LCM of Numerators i.e. for 486,670 is 162810

GCF of denominators i.e. for 28,3090 is 2.

Thus, LCM of Fractions is 81405.Finally, LCM of Fractions for 486/28, 670/3090 is 81405.