Least Common Multiple of 1798/384, 8326/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1798/384, 8326/476 quickly i.e. 7485074/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1798/384, 8326/476 is 7485074/4.

LCM(1798/384, 8326/476) = 7485074/4

LCM of 1798/384, 8326/476

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 1798/384,8326/476

Given numbers are 1798/384,8326/476

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 1798,8326

Least Common Multiple of Numerators i.e. LCM of 1798,8326 is 7485074.

GCF of Denominators means GCF of 384,476 as per the given fractions.

GCF of 384,476 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1798,8326

LCM of Fractions 1798/384,8326/476 is 7485074/4

2 1798, 8326
899, 4163

∴ So the LCM of the given numbers is 2 x 899 x 4163 = 7485074

Least Common Multiple of 1798,8326 with GCF Formula

Least Common Multiple of 1798,8326 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 1798,8326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1798,8326) = 2

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

GCF(1798,8326) x common factors =2 x 1 = 2

LCM(1798,8326) = ( 1798 × 8326 ) / 2

LCM(1798,8326) = 14970148 / 2

LCM(1798,8326) = 7485074


Lets's calculate GCF of 384,476

2 384, 476
2 192, 238
96, 119

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7485074/4

Therefore the LCM of Fractions 1798/384,8326/476 is 7485074/4

Greatest Common Factor of 384,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,476 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 384,476 . The biggest common factor number is the GCF number.
So the greatest common factor 384,476 is 4.


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 1798/384, 8326/476

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 1798/384, 8326/476?

Answer: LCM of Numerators as per given numbers 1798/384, 8326/476 is

LCM of Numerators i.e. for 1798,8326 is 7485074

GCF of denominators i.e. for 384,476 is 4.

Thus, LCM of Fractions is 7485074/4.Finally, LCM of Fractions for 1798/384, 8326/476 is 7485074/4.