Given numbers are 719,724,214,648,472

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

The LCM of 719,724,214,648,472 is 532375744536.

Find LCM of 719,724,214,648,472 with Prime Factorization

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

2 x 2 x 2 x 719 x 181 x 107 x 81 x 59 = 532375744536

Therefore, the lowest common multiple of 719,724,214,648,472 is 532375744536.

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.

719 x 724 x 214 x 648 x 472 = 34072047650304

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.

719 : 1, 719

724 : 1, 2, 4, 181, 362, 724

214 : 1, 2, 107, 214

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,724,214,648,472, is 1.

Now, the common factors can be found like this.

719:719

724:2x 2x 181

214:2x 107

648:2x 2x 2x 3x 3x 3x 3

472:2x 2x 2x 59

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 34072047650304/(1x64)

LCM = 34072047650304/64

LCM = 532375744536

Thus, we can understand that the LCM of 719,724,214,648,472 is 532375744536.

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

• LCM of 629, 175, 229, 571, 333
• LCM of 906, 847, 401, 606, 229
• LCM of 980, 562, 464, 723, 723
• LCM of 598, 690, 821, 251, 176
• LCM of 218, 524, 658, 154, 902

1. What is the LCM of 719, 724, 214, 648, 472?

Answer: LCM of 719, 724, 214, 648, 472 is 532375744536.

2. How to calculate the LCM of 719, 724, 214, 648, 472?

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 719, 724, 214, 648, 472.

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}.