Least Common Multiple of 689/562, 716/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/562, 716/380 quickly i.e. 246662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/562, 716/380 is 246662.

LCM(689/562, 716/380) = 246662

LCM of 689/562, 716/380

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 689/562,716/380

Given numbers are 689/562,716/380

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 689,716

Least Common Multiple of Numerators i.e. LCM of 689,716 is 493324.

GCF of Denominators means GCF of 562,380 as per the given fractions.

GCF of 562,380 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,716

LCM of Fractions 689/562,716/380 is 246662

Given numbers has no common factors except 1. So, there LCM is their product i.e 493324

Least Common Multiple of 689,716 with GCF Formula

Least Common Multiple of 689,716 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 689,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,716) = 1

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

GCF(689,716) x common factors =1 x 1 = 1

LCM(689,716) = ( 689 × 716 ) / 1

LCM(689,716) = 493324 / 1

LCM(689,716) = 493324


Lets's calculate GCF of 562,380

2 562, 380
281, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493324/2

Therefore the LCM of Fractions 689/562,716/380 is 246662

Greatest Common Factor of 562,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,380 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 562,380 . The biggest common factor number is the GCF number.
So the greatest common factor 562,380 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 689/562, 716/380

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 689/562, 716/380?

Answer: LCM of Numerators as per given numbers 689/562, 716/380 is

LCM of Numerators i.e. for 689,716 is 493324

GCF of denominators i.e. for 562,380 is 2.

Thus, LCM of Fractions is 246662.Finally, LCM of Fractions for 689/562, 716/380 is 246662.