Least Common Multiple of 7267/548, 6804/6458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7267/548, 6804/6458 quickly i.e. 24722334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7267/548, 6804/6458 is 24722334.

LCM(7267/548, 6804/6458) = 24722334

LCM of 7267/548, 6804/6458

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 7267/548,6804/6458

Given numbers are 7267/548,6804/6458

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 7267,6804

Least Common Multiple of Numerators i.e. LCM of 7267,6804 is 49444668.

GCF of Denominators means GCF of 548,6458 as per the given fractions.

GCF of 548,6458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7267,6804

LCM of Fractions 7267/548,6804/6458 is 24722334

Given numbers has no common factors except 1. So, there LCM is their product i.e 49444668

Least Common Multiple of 7267,6804 with GCF Formula

Least Common Multiple of 7267,6804 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 7267,6804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7267,6804) = 1

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

GCF(7267,6804) x common factors =1 x 1 = 1

LCM(7267,6804) = ( 7267 × 6804 ) / 1

LCM(7267,6804) = 49444668 / 1

LCM(7267,6804) = 49444668


Lets's calculate GCF of 548,6458

2 548, 6458
274, 3229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49444668/2

Therefore the LCM of Fractions 7267/548,6804/6458 is 24722334

Greatest Common Factor of 548,6458 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,6458 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 6458

List of positive integer factors of 6458 that divides 6458 without a remainder.

1,2,3229,6458

Greatest Common Factor

We found the factors 548,6458 . The biggest common factor number is the GCF number.
So the greatest common factor 548,6458 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 7267/548, 6804/6458

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 7267/548, 6804/6458?

Answer: LCM of Numerators as per given numbers 7267/548, 6804/6458 is

LCM of Numerators i.e. for 7267,6804 is 49444668

GCF of denominators i.e. for 548,6458 is 2.

Thus, LCM of Fractions is 24722334.Finally, LCM of Fractions for 7267/548, 6804/6458 is 24722334.