Least Common Multiple of 686/485, 9540/2889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/485, 9540/2889 quickly i.e. 3272220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/485, 9540/2889 is 3272220.

LCM(686/485, 9540/2889) = 3272220

LCM of 686/485, 9540/2889

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 686/485,9540/2889

Given numbers are 686/485,9540/2889

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 686,9540

Least Common Multiple of Numerators i.e. LCM of 686,9540 is 3272220.

GCF of Denominators means GCF of 485,2889 as per the given fractions.

GCF of 485,2889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,9540

LCM of Fractions 686/485,9540/2889 is 3272220

2 686, 9540
343, 4770

∴ So the LCM of the given numbers is 2 x 343 x 4770 = 3272220

Least Common Multiple of 686,9540 with GCF Formula

Least Common Multiple of 686,9540 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 686,9540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,9540) = 2

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

GCF(686,9540) x common factors =2 x 1 = 2

LCM(686,9540) = ( 686 × 9540 ) / 2

LCM(686,9540) = 6544440 / 2

LCM(686,9540) = 3272220


Lets's calculate GCF of 485,2889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3272220/1

Therefore the LCM of Fractions 686/485,9540/2889 is 3272220

Greatest Common Factor of 485,2889 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,2889 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 2889

List of positive integer factors of 2889 that divides 2889 without a remainder.

1,3,9,27,107,321,963,2889

Greatest Common Factor

We found the factors 485,2889 . The biggest common factor number is the GCF number.
So the greatest common factor 485,2889 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 686/485, 9540/2889

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 686/485, 9540/2889?

Answer: LCM of Numerators as per given numbers 686/485, 9540/2889 is

LCM of Numerators i.e. for 686,9540 is 3272220

GCF of denominators i.e. for 485,2889 is 1.

Thus, LCM of Fractions is 3272220.Finally, LCM of Fractions for 686/485, 9540/2889 is 3272220.