Least Common Multiple of 6716/686, 5850/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6716/686, 5850/550 quickly i.e. 9822150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6716/686, 5850/550 is 9822150.

LCM(6716/686, 5850/550) = 9822150

LCM of 6716/686, 5850/550

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 6716/686,5850/550

Given numbers are 6716/686,5850/550

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 6716,5850

Least Common Multiple of Numerators i.e. LCM of 6716,5850 is 19644300.

GCF of Denominators means GCF of 686,550 as per the given fractions.

GCF of 686,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6716,5850

LCM of Fractions 6716/686,5850/550 is 9822150

2 6716, 5850
3358, 2925

∴ So the LCM of the given numbers is 2 x 3358 x 2925 = 19644300

Least Common Multiple of 6716,5850 with GCF Formula

Least Common Multiple of 6716,5850 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 6716,5850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6716,5850) = 2

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

GCF(6716,5850) x common factors =2 x 1 = 2

LCM(6716,5850) = ( 6716 × 5850 ) / 2

LCM(6716,5850) = 39288600 / 2

LCM(6716,5850) = 19644300


Lets's calculate GCF of 686,550

2 686, 550
343, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19644300/2

Therefore the LCM of Fractions 6716/686,5850/550 is 9822150

Greatest Common Factor of 686,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,550 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 686,550 . The biggest common factor number is the GCF number.
So the greatest common factor 686,550 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 6716/686, 5850/550

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 6716/686, 5850/550?

Answer: LCM of Numerators as per given numbers 6716/686, 5850/550 is

LCM of Numerators i.e. for 6716,5850 is 19644300

GCF of denominators i.e. for 686,550 is 2.

Thus, LCM of Fractions is 9822150.Finally, LCM of Fractions for 6716/686, 5850/550 is 9822150.