Least Common Multiple of 369/19, 674/7823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 369/19, 674/7823 quickly i.e. 248706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 369/19, 674/7823 is 248706.

LCM(369/19, 674/7823) = 248706

LCM of 369/19, 674/7823

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 369/19,674/7823

Given numbers are 369/19,674/7823

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 369,674

Least Common Multiple of Numerators i.e. LCM of 369,674 is 248706.

GCF of Denominators means GCF of 19,7823 as per the given fractions.

GCF of 19,7823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 369,674

LCM of Fractions 369/19,674/7823 is 248706

Given numbers has no common factors except 1. So, there LCM is their product i.e 248706

Least Common Multiple of 369,674 with GCF Formula

Least Common Multiple of 369,674 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 369,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(369,674) = 1

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

GCF(369,674) x common factors =1 x 1 = 1

LCM(369,674) = ( 369 × 674 ) / 1

LCM(369,674) = 248706 / 1

LCM(369,674) = 248706


Lets's calculate GCF of 19,7823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248706/1

Therefore the LCM of Fractions 369/19,674/7823 is 248706

Greatest Common Factor of 19,7823 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,7823 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1,7823

Greatest Common Factor

We found the factors 19,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 19,7823 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 369/19, 674/7823

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 369/19, 674/7823?

Answer: LCM of Numerators as per given numbers 369/19, 674/7823 is

LCM of Numerators i.e. for 369,674 is 248706

GCF of denominators i.e. for 19,7823 is 1.

Thus, LCM of Fractions is 248706.Finally, LCM of Fractions for 369/19, 674/7823 is 248706.