Least Common Multiple of 142/603, 1223/5714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/603, 1223/5714 quickly i.e. 173666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/603, 1223/5714 is 173666.

LCM(142/603, 1223/5714) = 173666

LCM of 142/603, 1223/5714

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 142/603,1223/5714

Given numbers are 142/603,1223/5714

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 142,1223

Least Common Multiple of Numerators i.e. LCM of 142,1223 is 173666.

GCF of Denominators means GCF of 603,5714 as per the given fractions.

GCF of 603,5714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,1223

LCM of Fractions 142/603,1223/5714 is 173666

Given numbers has no common factors except 1. So, there LCM is their product i.e 173666

Least Common Multiple of 142,1223 with GCF Formula

Least Common Multiple of 142,1223 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 142,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,1223) = 1

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

GCF(142,1223) x common factors =1 x 1 = 1

LCM(142,1223) = ( 142 × 1223 ) / 1

LCM(142,1223) = 173666 / 1

LCM(142,1223) = 173666


Lets's calculate GCF of 603,5714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173666/1

Therefore the LCM of Fractions 142/603,1223/5714 is 173666

Greatest Common Factor of 603,5714 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,5714 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Greatest Common Factor

We found the factors 603,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 603,5714 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 142/603, 1223/5714

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 142/603, 1223/5714?

Answer: LCM of Numerators as per given numbers 142/603, 1223/5714 is

LCM of Numerators i.e. for 142,1223 is 173666

GCF of denominators i.e. for 603,5714 is 1.

Thus, LCM of Fractions is 173666.Finally, LCM of Fractions for 142/603, 1223/5714 is 173666.