LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 411, 714, 306, 393

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 411, 714, 306, 393 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 411, 714, 306, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,714,306,393

Given numbers are 411,714,306,393

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 411,714,306,393 is 38442474.

Find LCM of 411,714,306,393 with Prime Factorization


2 411, 714, 306, 393
3 411, 357, 153, 393
17 137, 119, 51, 131
137, 7, 3, 131

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 17 x 137 x 7 x 3 x 131 = 38442474

Therefore, the lowest common multiple of 411,714,306,393 is 38442474.

LCM Formula to Find Lowest Common Multiple of 411,714,306,393

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

411 x 714 x 306 x 393 = 35290191132

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

411 : 1, 3, 137, 411

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

393 : 1, 3, 131, 393

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,714,306,393, is 3.

Now, the common factors can be found like this.

411:3x 137

714:2x 3x 7x 17

306:2x 3x 3x 17

393:3x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 17 = 306

Therefore, the value for common factors is 306.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 35290191132/(3x306)

LCM = 35290191132/918

LCM = 38442474

Thus, we can understand that the LCM of 411,714,306,393 is 38442474.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 714, 306, 393

1. What is the LCM of 411, 714, 306, 393?

Answer: LCM of 411, 714, 306, 393 is 38442474.

2. How to calculate the LCM of 411, 714, 306, 393?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 411, 714, 306, 393.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.