Least Common Multiple of 427/690, 9704/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/690, 9704/344 quickly i.e. 2071804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/690, 9704/344 is 2071804.

LCM(427/690, 9704/344) = 2071804

LCM of 427/690, 9704/344

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 427/690,9704/344

Given numbers are 427/690,9704/344

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 427,9704

Least Common Multiple of Numerators i.e. LCM of 427,9704 is 4143608.

GCF of Denominators means GCF of 690,344 as per the given fractions.

GCF of 690,344 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,9704

LCM of Fractions 427/690,9704/344 is 2071804

Given numbers has no common factors except 1. So, there LCM is their product i.e 4143608

Least Common Multiple of 427,9704 with GCF Formula

Least Common Multiple of 427,9704 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 427,9704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,9704) = 1

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

GCF(427,9704) x common factors =1 x 1 = 1

LCM(427,9704) = ( 427 × 9704 ) / 1

LCM(427,9704) = 4143608 / 1

LCM(427,9704) = 4143608


Lets's calculate GCF of 690,344

2 690, 344
345, 172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4143608/2

Therefore the LCM of Fractions 427/690,9704/344 is 2071804

Greatest Common Factor of 690,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,344 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 690,344 . The biggest common factor number is the GCF number.
So the greatest common factor 690,344 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 427/690, 9704/344

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 427/690, 9704/344?

Answer: LCM of Numerators as per given numbers 427/690, 9704/344 is

LCM of Numerators i.e. for 427,9704 is 4143608

GCF of denominators i.e. for 690,344 is 2.

Thus, LCM of Fractions is 2071804.Finally, LCM of Fractions for 427/690, 9704/344 is 2071804.