Least Common Multiple of 1709/421, 9086/8670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1709/421, 9086/8670 quickly i.e. 15527974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1709/421, 9086/8670 is 15527974.

LCM(1709/421, 9086/8670) = 15527974

LCM of 1709/421, 9086/8670

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 1709/421,9086/8670

Given numbers are 1709/421,9086/8670

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 1709,9086

Least Common Multiple of Numerators i.e. LCM of 1709,9086 is 15527974.

GCF of Denominators means GCF of 421,8670 as per the given fractions.

GCF of 421,8670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1709,9086

LCM of Fractions 1709/421,9086/8670 is 15527974

Given numbers has no common factors except 1. So, there LCM is their product i.e 15527974

Least Common Multiple of 1709,9086 with GCF Formula

Least Common Multiple of 1709,9086 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 1709,9086 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1709,9086) = 1

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

GCF(1709,9086) x common factors =1 x 1 = 1

LCM(1709,9086) = ( 1709 × 9086 ) / 1

LCM(1709,9086) = 15527974 / 1

LCM(1709,9086) = 15527974


Lets's calculate GCF of 421,8670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15527974/1

Therefore the LCM of Fractions 1709/421,9086/8670 is 15527974

Greatest Common Factor of 421,8670 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,8670 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670

Greatest Common Factor

We found the factors 421,8670 . The biggest common factor number is the GCF number.
So the greatest common factor 421,8670 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 1709/421, 9086/8670

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 1709/421, 9086/8670?

Answer: LCM of Numerators as per given numbers 1709/421, 9086/8670 is

LCM of Numerators i.e. for 1709,9086 is 15527974

GCF of denominators i.e. for 421,8670 is 1.

Thus, LCM of Fractions is 15527974.Finally, LCM of Fractions for 1709/421, 9086/8670 is 15527974.