Least Common Multiple of 549/420, 2707/2269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/420, 2707/2269 quickly i.e. 1486143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/420, 2707/2269 is 1486143.

LCM(549/420, 2707/2269) = 1486143

LCM of 549/420, 2707/2269

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 549/420,2707/2269

Given numbers are 549/420,2707/2269

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 549,2707

Least Common Multiple of Numerators i.e. LCM of 549,2707 is 1486143.

GCF of Denominators means GCF of 420,2269 as per the given fractions.

GCF of 420,2269 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,2707

LCM of Fractions 549/420,2707/2269 is 1486143

Given numbers has no common factors except 1. So, there LCM is their product i.e 1486143

Least Common Multiple of 549,2707 with GCF Formula

Least Common Multiple of 549,2707 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 549,2707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,2707) = 1

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

GCF(549,2707) x common factors =1 x 1 = 1

LCM(549,2707) = ( 549 × 2707 ) / 1

LCM(549,2707) = 1486143 / 1

LCM(549,2707) = 1486143


Lets's calculate GCF of 420,2269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1486143/1

Therefore the LCM of Fractions 549/420,2707/2269 is 1486143

Greatest Common Factor of 420,2269 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,2269 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 2269

List of positive integer factors of 2269 that divides 2269 without a remainder.

1,2269

Greatest Common Factor

We found the factors 420,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 420,2269 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 549/420, 2707/2269

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 549/420, 2707/2269?

Answer: LCM of Numerators as per given numbers 549/420, 2707/2269 is

LCM of Numerators i.e. for 549,2707 is 1486143

GCF of denominators i.e. for 420,2269 is 1.

Thus, LCM of Fractions is 1486143.Finally, LCM of Fractions for 549/420, 2707/2269 is 1486143.