Least Common Multiple of 3414/249, 2823/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3414/249, 2823/727 quickly i.e. 3212574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3414/249, 2823/727 is 3212574.

LCM(3414/249, 2823/727) = 3212574

LCM of 3414/249, 2823/727

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 3414/249,2823/727

Given numbers are 3414/249,2823/727

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 3414,2823

Least Common Multiple of Numerators i.e. LCM of 3414,2823 is 3212574.

GCF of Denominators means GCF of 249,727 as per the given fractions.

GCF of 249,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3414,2823

LCM of Fractions 3414/249,2823/727 is 3212574

3 3414, 2823
1138, 941

∴ So the LCM of the given numbers is 3 x 1138 x 941 = 3212574

Least Common Multiple of 3414,2823 with GCF Formula

Least Common Multiple of 3414,2823 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 3414,2823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3414,2823) = 3

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

GCF(3414,2823) x common factors =3 x 1 = 3

LCM(3414,2823) = ( 3414 × 2823 ) / 3

LCM(3414,2823) = 9637722 / 3

LCM(3414,2823) = 3212574


Lets's calculate GCF of 249,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3212574/1

Therefore the LCM of Fractions 3414/249,2823/727 is 3212574

Greatest Common Factor of 249,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,727 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 249,727 . The biggest common factor number is the GCF number.
So the greatest common factor 249,727 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 3414/249, 2823/727

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 3414/249, 2823/727?

Answer: LCM of Numerators as per given numbers 3414/249, 2823/727 is

LCM of Numerators i.e. for 3414,2823 is 3212574

GCF of denominators i.e. for 249,727 is 1.

Thus, LCM of Fractions is 3212574.Finally, LCM of Fractions for 3414/249, 2823/727 is 3212574.