Least Common Multiple of 1658/626, 6803/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1658/626, 6803/784 quickly i.e. 5639687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1658/626, 6803/784 is 5639687.

LCM(1658/626, 6803/784) = 5639687

LCM of 1658/626, 6803/784

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 1658/626,6803/784

Given numbers are 1658/626,6803/784

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 1658,6803

Least Common Multiple of Numerators i.e. LCM of 1658,6803 is 11279374.

GCF of Denominators means GCF of 626,784 as per the given fractions.

GCF of 626,784 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1658,6803

LCM of Fractions 1658/626,6803/784 is 5639687

Given numbers has no common factors except 1. So, there LCM is their product i.e 11279374

Least Common Multiple of 1658,6803 with GCF Formula

Least Common Multiple of 1658,6803 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 1658,6803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1658,6803) = 1

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

GCF(1658,6803) x common factors =1 x 1 = 1

LCM(1658,6803) = ( 1658 × 6803 ) / 1

LCM(1658,6803) = 11279374 / 1

LCM(1658,6803) = 11279374


Lets's calculate GCF of 626,784

2 626, 784
313, 392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11279374/2

Therefore the LCM of Fractions 1658/626,6803/784 is 5639687

Greatest Common Factor of 626,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 626,784 By Matching Biggest Common Factor Method

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 626,784 . The biggest common factor number is the GCF number.
So the greatest common factor 626,784 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 1658/626, 6803/784

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 1658/626, 6803/784?

Answer: LCM of Numerators as per given numbers 1658/626, 6803/784 is

LCM of Numerators i.e. for 1658,6803 is 11279374

GCF of denominators i.e. for 626,784 is 2.

Thus, LCM of Fractions is 5639687.Finally, LCM of Fractions for 1658/626, 6803/784 is 5639687.