Least Common Multiple of 193/493, 740/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/493, 740/546 quickly i.e. 142820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/493, 740/546 is 142820.

LCM(193/493, 740/546) = 142820

LCM of 193/493, 740/546

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 193/493,740/546

Given numbers are 193/493,740/546

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 193,740

Least Common Multiple of Numerators i.e. LCM of 193,740 is 142820.

GCF of Denominators means GCF of 493,546 as per the given fractions.

GCF of 493,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,740

LCM of Fractions 193/493,740/546 is 142820

Given numbers has no common factors except 1. So, there LCM is their product i.e 142820

Least Common Multiple of 193,740 with GCF Formula

Least Common Multiple of 193,740 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 193,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,740) = 1

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

GCF(193,740) x common factors =1 x 1 = 1

LCM(193,740) = ( 193 × 740 ) / 1

LCM(193,740) = 142820 / 1

LCM(193,740) = 142820


Lets's calculate GCF of 493,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142820/1

Therefore the LCM of Fractions 193/493,740/546 is 142820

Greatest Common Factor of 493,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,546 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 493,546 . The biggest common factor number is the GCF number.
So the greatest common factor 493,546 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 193/493, 740/546

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 193/493, 740/546?

Answer: LCM of Numerators as per given numbers 193/493, 740/546 is

LCM of Numerators i.e. for 193,740 is 142820

GCF of denominators i.e. for 493,546 is 1.

Thus, LCM of Fractions is 142820.Finally, LCM of Fractions for 193/493, 740/546 is 142820.