Least Common Multiple of 7240/58, 3363/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7240/58, 3363/178 quickly i.e. 12174060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7240/58, 3363/178 is 12174060.

LCM(7240/58, 3363/178) = 12174060

LCM of 7240/58, 3363/178

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 7240/58,3363/178

Given numbers are 7240/58,3363/178

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 7240,3363

Least Common Multiple of Numerators i.e. LCM of 7240,3363 is 24348120.

GCF of Denominators means GCF of 58,178 as per the given fractions.

GCF of 58,178 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7240,3363

LCM of Fractions 7240/58,3363/178 is 12174060

Given numbers has no common factors except 1. So, there LCM is their product i.e 24348120

Least Common Multiple of 7240,3363 with GCF Formula

Least Common Multiple of 7240,3363 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 7240,3363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7240,3363) = 1

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

GCF(7240,3363) x common factors =1 x 1 = 1

LCM(7240,3363) = ( 7240 × 3363 ) / 1

LCM(7240,3363) = 24348120 / 1

LCM(7240,3363) = 24348120


Lets's calculate GCF of 58,178

2 58, 178
29, 89

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24348120/2

Therefore the LCM of Fractions 7240/58,3363/178 is 12174060

Greatest Common Factor of 58,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,178 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 58,178 . The biggest common factor number is the GCF number.
So the greatest common factor 58,178 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 7240/58, 3363/178

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 7240/58, 3363/178?

Answer: LCM of Numerators as per given numbers 7240/58, 3363/178 is

LCM of Numerators i.e. for 7240,3363 is 24348120

GCF of denominators i.e. for 58,178 is 2.

Thus, LCM of Fractions is 12174060.Finally, LCM of Fractions for 7240/58, 3363/178 is 12174060.