Least Common Multiple of 143/30, 345/2801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 143/30, 345/2801 quickly i.e. 49335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/30, 345/2801 is 49335.

LCM(143/30, 345/2801) = 49335

LCM of 143/30, 345/2801

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 143/30,345/2801

Given numbers are 143/30,345/2801

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 143,345

Least Common Multiple of Numerators i.e. LCM of 143,345 is 49335.

GCF of Denominators means GCF of 30,2801 as per the given fractions.

GCF of 30,2801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,345

LCM of Fractions 143/30,345/2801 is 49335

Given numbers has no common factors except 1. So, there LCM is their product i.e 49335

Least Common Multiple of 143,345 with GCF Formula

Least Common Multiple of 143,345 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 143,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,345) = 1

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

GCF(143,345) x common factors =1 x 1 = 1

LCM(143,345) = ( 143 × 345 ) / 1

LCM(143,345) = 49335 / 1

LCM(143,345) = 49335


Lets's calculate GCF of 30,2801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49335/1

Therefore the LCM of Fractions 143/30,345/2801 is 49335

Greatest Common Factor of 30,2801 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,2801 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 2801

List of positive integer factors of 2801 that divides 2801 without a remainder.

1,2801

Greatest Common Factor

We found the factors 30,2801 . The biggest common factor number is the GCF number.
So the greatest common factor 30,2801 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 143/30, 345/2801

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 143/30, 345/2801?

Answer: LCM of Numerators as per given numbers 143/30, 345/2801 is

LCM of Numerators i.e. for 143,345 is 49335

GCF of denominators i.e. for 30,2801 is 1.

Thus, LCM of Fractions is 49335.Finally, LCM of Fractions for 143/30, 345/2801 is 49335.