Least Common Multiple of 3434/654, 3808/5405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3434/654, 3808/5405 quickly i.e. 384608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3434/654, 3808/5405 is 384608.

LCM(3434/654, 3808/5405) = 384608

LCM of 3434/654, 3808/5405

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 3434/654,3808/5405

Given numbers are 3434/654,3808/5405

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 3434,3808

Least Common Multiple of Numerators i.e. LCM of 3434,3808 is 384608.

GCF of Denominators means GCF of 654,5405 as per the given fractions.

GCF of 654,5405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3434,3808

LCM of Fractions 3434/654,3808/5405 is 384608

2 3434, 3808
17 1717, 1904
101, 112

∴ So the LCM of the given numbers is 2 x 17 x 101 x 112 = 384608

Least Common Multiple of 3434,3808 with GCF Formula

Least Common Multiple of 3434,3808 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 3434,3808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3434,3808) = 34

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

GCF(3434,3808) x common factors =34 x 1 = 34

LCM(3434,3808) = ( 3434 × 3808 ) / 34

LCM(3434,3808) = 13076672 / 34

LCM(3434,3808) = 384608


Lets's calculate GCF of 654,5405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384608/1

Therefore the LCM of Fractions 3434/654,3808/5405 is 384608

Greatest Common Factor of 654,5405 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,5405 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 5405

List of positive integer factors of 5405 that divides 5405 without a remainder.

1,5,23,47,115,235,1081,5405

Greatest Common Factor

We found the factors 654,5405 . The biggest common factor number is the GCF number.
So the greatest common factor 654,5405 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 3434/654, 3808/5405

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 3434/654, 3808/5405?

Answer: LCM of Numerators as per given numbers 3434/654, 3808/5405 is

LCM of Numerators i.e. for 3434,3808 is 384608

GCF of denominators i.e. for 654,5405 is 1.

Thus, LCM of Fractions is 384608.Finally, LCM of Fractions for 3434/654, 3808/5405 is 384608.