Least Common Multiple of 178/738, 115/184, 778/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/738, 115/184, 778/348 quickly i.e. 3981415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/738, 115/184, 778/348 is 3981415.

LCM(178/738, 115/184, 778/348) = 3981415

LCM of 178/738, 115/184, 778/348

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 178/738,115/184,778/348

Given numbers are 178/738,115/184,778/348

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 178,115,778

Least Common Multiple of Numerators i.e. LCM of 178,115,778 is 7962830.

GCF of Denominators means GCF of 738,184,348 as per the given fractions.

GCF of 738,184,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,115,778

LCM of Fractions 178/738,115/184,778/348 is 3981415

2 178, 115, 778
89, 115, 389

∴ So the LCM of the given numbers is 2 x 89 x 115 x 389 = 7962830

Least Common Multiple of 178,115,778 with GCF Formula

Least Common Multiple of 178,115,778 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 178,115,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,115,778) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(178,115,778) x common factors =1 x 2 = 2

LCM(178,115,778) = ( 178 × 115 × 778 ) / 2

LCM(178,115,778) = 15925660 / 2

LCM(178,115,778) = 7962830


Lets's calculate GCF of 738,184,348

2 738, 184, 348
369, 92, 174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7962830/2

Therefore the LCM of Fractions 178/738,115/184,778/348 is 3981415

Greatest Common Factor of 738,184,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,184,348 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 738,184,348 . The biggest common factor number is the GCF number.
So the greatest common factor 738,184,348 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 178/738, 115/184, 778/348

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 178/738, 115/184, 778/348?

Answer: LCM of Numerators as per given numbers 178/738, 115/184, 778/348 is

LCM of Numerators i.e. for 178,115,778 is 7962830

GCF of denominators i.e. for 738,184,348 is 2.

Thus, LCM of Fractions is 3981415.Finally, LCM of Fractions for 178/738, 115/184, 778/348 is 3981415.