Least Common Multiple of 3409/392, 6025/1458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3409/392, 6025/1458 quickly i.e. 20539225/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3409/392, 6025/1458 is 20539225/2.

LCM(3409/392, 6025/1458) = 20539225/2

LCM of 3409/392, 6025/1458

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 3409/392,6025/1458

Given numbers are 3409/392,6025/1458

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 3409,6025

Least Common Multiple of Numerators i.e. LCM of 3409,6025 is 20539225.

GCF of Denominators means GCF of 392,1458 as per the given fractions.

GCF of 392,1458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3409,6025

LCM of Fractions 3409/392,6025/1458 is 20539225/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 20539225

Least Common Multiple of 3409,6025 with GCF Formula

Least Common Multiple of 3409,6025 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 3409,6025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3409,6025) = 1

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

GCF(3409,6025) x common factors =1 x 1 = 1

LCM(3409,6025) = ( 3409 × 6025 ) / 1

LCM(3409,6025) = 20539225 / 1

LCM(3409,6025) = 20539225


Lets's calculate GCF of 392,1458

2 392, 1458
196, 729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20539225/2

Therefore the LCM of Fractions 3409/392,6025/1458 is 20539225/2

Greatest Common Factor of 392,1458 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,1458 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 1458

List of positive integer factors of 1458 that divides 1458 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458

Greatest Common Factor

We found the factors 392,1458 . The biggest common factor number is the GCF number.
So the greatest common factor 392,1458 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 3409/392, 6025/1458

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 3409/392, 6025/1458?

Answer: LCM of Numerators as per given numbers 3409/392, 6025/1458 is

LCM of Numerators i.e. for 3409,6025 is 20539225

GCF of denominators i.e. for 392,1458 is 2.

Thus, LCM of Fractions is 20539225/2.Finally, LCM of Fractions for 3409/392, 6025/1458 is 20539225/2.