Least Common Multiple of 579/67, 709/2419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/67, 709/2419 quickly i.e. 410511 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/67, 709/2419 is 410511.

LCM(579/67, 709/2419) = 410511

LCM of 579/67, 709/2419

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 579/67,709/2419

Given numbers are 579/67,709/2419

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 579,709

Least Common Multiple of Numerators i.e. LCM of 579,709 is 410511.

GCF of Denominators means GCF of 67,2419 as per the given fractions.

GCF of 67,2419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,709

LCM of Fractions 579/67,709/2419 is 410511

Given numbers has no common factors except 1. So, there LCM is their product i.e 410511

Least Common Multiple of 579,709 with GCF Formula

Least Common Multiple of 579,709 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 579,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,709) = 1

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

GCF(579,709) x common factors =1 x 1 = 1

LCM(579,709) = ( 579 × 709 ) / 1

LCM(579,709) = 410511 / 1

LCM(579,709) = 410511


Lets's calculate GCF of 67,2419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410511/1

Therefore the LCM of Fractions 579/67,709/2419 is 410511

Greatest Common Factor of 67,2419 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,2419 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 2419

List of positive integer factors of 2419 that divides 2419 without a remainder.

1,41,59,2419

Greatest Common Factor

We found the factors 67,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 67,2419 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 579/67, 709/2419

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 579/67, 709/2419?

Answer: LCM of Numerators as per given numbers 579/67, 709/2419 is

LCM of Numerators i.e. for 579,709 is 410511

GCF of denominators i.e. for 67,2419 is 1.

Thus, LCM of Fractions is 410511.Finally, LCM of Fractions for 579/67, 709/2419 is 410511.