Given numbers are 674,761,552,432,399

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

The LCM of 674,761,552,432,399 is 338904848016.

Find LCM of 674,761,552,432,399 with Prime Factorization

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

2 x 2 x 2 x 3 x 337 x 761 x 23 x 18 x 133 = 338904848016

Therefore, the lowest common multiple of 674,761,552,432,399 is 338904848016.

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.

674 x 761 x 552 x 432 x 399 = 48802298114304

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.

674 : 1, 2, 337, 674

761 : 1, 761

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,761,552,432,399, is 1.

Now, the common factors can be found like this.

674:2x 337

761:761

552:2x 2x 2x 3x 23

432:2x 2x 2x 2x 3x 3x 3

399:3x 7x 19

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

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 48802298114304/(1x144)

LCM = 48802298114304/144

LCM = 338904848016

Thus, we can understand that the LCM of 674,761,552,432,399 is 338904848016.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 377, 446, 592, 143, 763
• LCM of 253, 626, 871, 681, 335
• LCM of 295, 641, 951, 450, 452
• LCM of 260, 167, 627, 280, 509
• LCM of 631, 373, 636, 810, 325

1. What is the LCM of 674, 761, 552, 432, 399?

Answer: LCM of 674, 761, 552, 432, 399 is 338904848016.

2. How to calculate the LCM of 674, 761, 552, 432, 399?

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 674, 761, 552, 432, 399.

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}.