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LCM of 399, 407, 437, 782

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


Find the LCM of 399, 407, 437, 782 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 399, 407, 437, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 399,407,437,782

Given numbers are 399,407,437,782

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

The LCM of 399,407,437,782 is 126991326.

Find LCM of 399,407,437,782 with Prime Factorization


19 399, 407, 437, 782
23 21, 407, 23, 782
21, 407, 1, 34

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

19 x 23 x 21 x 407 x 1 x 34 = 126991326

Therefore, the lowest common multiple of 399,407,437,782 is 126991326.

LCM Formula to Find Lowest Common Multiple of 399,407,437,782

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.

399 x 407 x 437 x 782 = 55495209462

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.

399 : 1, 3, 7, 19, 21, 57, 133, 399

407 : 1, 11, 37, 407

437 : 1, 19, 23, 437

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,407,437,782, is 1.

Now, the common factors can be found like this.

399:3x 7x 19

407:11x 37

437:19x 23

782:2x 17x 23

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

19x 23 = 437

Therefore, the value for common factors is 437.

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 = 55495209462/(1x437)

LCM = 55495209462/437

LCM = 126991326

Thus, we can understand that the LCM of 399,407,437,782 is 126991326.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 399, 407, 437, 782

1. What is the LCM of 399, 407, 437, 782?

Answer: LCM of 399, 407, 437, 782 is 126991326.

2. How to calculate the LCM of 399, 407, 437, 782?

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 399, 407, 437, 782.

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}.