Given numbers are 428,516,726,387,723

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

The LCM of 428,516,726,387,723 is 4830111396.

Find LCM of 428,516,726,387,723 with Prime Factorization

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

2 x 2 x 3 x 43 x 107 x 1 x 121 x 3 x 241 = 4830111396

Therefore, the lowest common multiple of 428,516,726,387,723 is 4830111396.

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.

428 x 516 x 726 x 387 x 723 = 44862074646048

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.

428 : 1, 2, 4, 107, 214, 428

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

387 : 1, 3, 9, 43, 129, 387

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,516,726,387,723, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

516:2x 2x 3x 43

726:2x 3x 11x 11

387:3x 3x 43

723:3x 241

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 3x 3x 3x 43 = 9288

Therefore, the value for common factors is 9288.

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 = 44862074646048/(1x9288)

LCM = 44862074646048/9288

LCM = 4830111396

Thus, we can understand that the LCM of 428,516,726,387,723 is 4830111396.

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

• LCM of 978, 406, 116, 948, 804
• LCM of 211, 179, 883, 413, 746
• LCM of 108, 925, 787, 821, 310
• LCM of 330, 672, 264, 807, 240
• LCM of 760, 129, 922, 160, 410

1. What is the LCM of 428, 516, 726, 387, 723?

Answer: LCM of 428, 516, 726, 387, 723 is 4830111396.

2. How to calculate the LCM of 428, 516, 726, 387, 723?

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 428, 516, 726, 387, 723.

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}.