Least Common Multiple of 8410/170, 8021/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8410/170, 8021/690 quickly i.e. 6745661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8410/170, 8021/690 is 6745661.

LCM(8410/170, 8021/690) = 6745661

LCM of 8410/170, 8021/690

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 8410/170,8021/690

Given numbers are 8410/170,8021/690

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 8410,8021

Least Common Multiple of Numerators i.e. LCM of 8410,8021 is 67456610.

GCF of Denominators means GCF of 170,690 as per the given fractions.

GCF of 170,690 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8410,8021

LCM of Fractions 8410/170,8021/690 is 6745661

Given numbers has no common factors except 1. So, there LCM is their product i.e 67456610

Least Common Multiple of 8410,8021 with GCF Formula

Least Common Multiple of 8410,8021 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 8410,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8410,8021) = 1

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

GCF(8410,8021) x common factors =1 x 1 = 1

LCM(8410,8021) = ( 8410 × 8021 ) / 1

LCM(8410,8021) = 67456610 / 1

LCM(8410,8021) = 67456610


Lets's calculate GCF of 170,690

2 170, 690
5 85, 345
17, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67456610/10

Therefore the LCM of Fractions 8410/170,8021/690 is 6745661

Greatest Common Factor of 170,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,690 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 170,690 . The biggest common factor number is the GCF number.
So the greatest common factor 170,690 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 8410/170, 8021/690

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 8410/170, 8021/690?

Answer: LCM of Numerators as per given numbers 8410/170, 8021/690 is

LCM of Numerators i.e. for 8410,8021 is 67456610

GCF of denominators i.e. for 170,690 is 10.

Thus, LCM of Fractions is 6745661.Finally, LCM of Fractions for 8410/170, 8021/690 is 6745661.