Least Common Multiple of 1489/661, 6836/4599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1489/661, 6836/4599 quickly i.e. 10178804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1489/661, 6836/4599 is 10178804.

LCM(1489/661, 6836/4599) = 10178804

LCM of 1489/661, 6836/4599

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 1489/661,6836/4599

Given numbers are 1489/661,6836/4599

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 1489,6836

Least Common Multiple of Numerators i.e. LCM of 1489,6836 is 10178804.

GCF of Denominators means GCF of 661,4599 as per the given fractions.

GCF of 661,4599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1489,6836

LCM of Fractions 1489/661,6836/4599 is 10178804

Given numbers has no common factors except 1. So, there LCM is their product i.e 10178804

Least Common Multiple of 1489,6836 with GCF Formula

Least Common Multiple of 1489,6836 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 1489,6836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1489,6836) = 1

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

GCF(1489,6836) x common factors =1 x 1 = 1

LCM(1489,6836) = ( 1489 × 6836 ) / 1

LCM(1489,6836) = 10178804 / 1

LCM(1489,6836) = 10178804


Lets's calculate GCF of 661,4599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10178804/1

Therefore the LCM of Fractions 1489/661,6836/4599 is 10178804

Greatest Common Factor of 661,4599 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,4599 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 4599

List of positive integer factors of 4599 that divides 4599 without a remainder.

1,3,7,9,21,63,73,219,511,657,1533,4599

Greatest Common Factor

We found the factors 661,4599 . The biggest common factor number is the GCF number.
So the greatest common factor 661,4599 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 1489/661, 6836/4599

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 1489/661, 6836/4599?

Answer: LCM of Numerators as per given numbers 1489/661, 6836/4599 is

LCM of Numerators i.e. for 1489,6836 is 10178804

GCF of denominators i.e. for 661,4599 is 1.

Thus, LCM of Fractions is 10178804.Finally, LCM of Fractions for 1489/661, 6836/4599 is 10178804.