Least Common Multiple of 689/596, 7414/5395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/596, 7414/5395 quickly i.e. 5108246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/596, 7414/5395 is 5108246.

LCM(689/596, 7414/5395) = 5108246

LCM of 689/596, 7414/5395

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 689/596,7414/5395

Given numbers are 689/596,7414/5395

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 689,7414

Least Common Multiple of Numerators i.e. LCM of 689,7414 is 5108246.

GCF of Denominators means GCF of 596,5395 as per the given fractions.

GCF of 596,5395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,7414

LCM of Fractions 689/596,7414/5395 is 5108246

Given numbers has no common factors except 1. So, there LCM is their product i.e 5108246

Least Common Multiple of 689,7414 with GCF Formula

Least Common Multiple of 689,7414 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 689,7414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,7414) = 1

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

GCF(689,7414) x common factors =1 x 1 = 1

LCM(689,7414) = ( 689 × 7414 ) / 1

LCM(689,7414) = 5108246 / 1

LCM(689,7414) = 5108246


Lets's calculate GCF of 596,5395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5108246/1

Therefore the LCM of Fractions 689/596,7414/5395 is 5108246

Greatest Common Factor of 596,5395 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,5395 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 5395

List of positive integer factors of 5395 that divides 5395 without a remainder.

1,5,13,65,83,415,1079,5395

Greatest Common Factor

We found the factors 596,5395 . The biggest common factor number is the GCF number.
So the greatest common factor 596,5395 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 689/596, 7414/5395

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 689/596, 7414/5395?

Answer: LCM of Numerators as per given numbers 689/596, 7414/5395 is

LCM of Numerators i.e. for 689,7414 is 5108246

GCF of denominators i.e. for 596,5395 is 1.

Thus, LCM of Fractions is 5108246.Finally, LCM of Fractions for 689/596, 7414/5395 is 5108246.