Least Common Multiple of 689/10, 6230/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/10, 6230/710 quickly i.e. 429247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/10, 6230/710 is 429247.

LCM(689/10, 6230/710) = 429247

LCM of 689/10, 6230/710

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 689/10,6230/710

Given numbers are 689/10,6230/710

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 689,6230

Least Common Multiple of Numerators i.e. LCM of 689,6230 is 4292470.

GCF of Denominators means GCF of 10,710 as per the given fractions.

GCF of 10,710 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,6230

LCM of Fractions 689/10,6230/710 is 429247

Given numbers has no common factors except 1. So, there LCM is their product i.e 4292470

Least Common Multiple of 689,6230 with GCF Formula

Least Common Multiple of 689,6230 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 689,6230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6230) = 1

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

GCF(689,6230) x common factors =1 x 1 = 1

LCM(689,6230) = ( 689 × 6230 ) / 1

LCM(689,6230) = 4292470 / 1

LCM(689,6230) = 4292470


Lets's calculate GCF of 10,710

2 10, 710
5 5, 355
1, 71

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4292470/10

Therefore the LCM of Fractions 689/10,6230/710 is 429247

Greatest Common Factor of 10,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,710 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 10,710 . The biggest common factor number is the GCF number.
So the greatest common factor 10,710 is 10.


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 689/10, 6230/710

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 689/10, 6230/710?

Answer: LCM of Numerators as per given numbers 689/10, 6230/710 is

LCM of Numerators i.e. for 689,6230 is 4292470

GCF of denominators i.e. for 10,710 is 10.

Thus, LCM of Fractions is 429247.Finally, LCM of Fractions for 689/10, 6230/710 is 429247.