Least Common Multiple of 7200/146, 4335/4354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7200/146, 4335/4354 quickly i.e. 1040400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7200/146, 4335/4354 is 1040400.

LCM(7200/146, 4335/4354) = 1040400

LCM of 7200/146, 4335/4354

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 7200/146,4335/4354

Given numbers are 7200/146,4335/4354

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 7200,4335

Least Common Multiple of Numerators i.e. LCM of 7200,4335 is 2080800.

GCF of Denominators means GCF of 146,4354 as per the given fractions.

GCF of 146,4354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7200,4335

LCM of Fractions 7200/146,4335/4354 is 1040400

3 7200, 4335
5 2400, 1445
480, 289

∴ So the LCM of the given numbers is 3 x 5 x 480 x 289 = 2080800

Least Common Multiple of 7200,4335 with GCF Formula

Least Common Multiple of 7200,4335 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 7200,4335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7200,4335) = 15

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

GCF(7200,4335) x common factors =15 x 1 = 15

LCM(7200,4335) = ( 7200 × 4335 ) / 15

LCM(7200,4335) = 31212000 / 15

LCM(7200,4335) = 2080800


Lets's calculate GCF of 146,4354

2 146, 4354
73, 2177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2080800/2

Therefore the LCM of Fractions 7200/146,4335/4354 is 1040400

Greatest Common Factor of 146,4354 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,4354 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1,2,7,14,311,622,2177,4354

Greatest Common Factor

We found the factors 146,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 146,4354 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 7200/146, 4335/4354

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 7200/146, 4335/4354?

Answer: LCM of Numerators as per given numbers 7200/146, 4335/4354 is

LCM of Numerators i.e. for 7200,4335 is 2080800

GCF of denominators i.e. for 146,4354 is 2.

Thus, LCM of Fractions is 1040400.Finally, LCM of Fractions for 7200/146, 4335/4354 is 1040400.