Given numbers are 724,668,378,736

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

The LCM of 724,668,378,736 is 4204696608.

Find LCM of 724,668,378,736 with Prime Factorization

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

2 x 2 x 181 x 167 x 189 x 184 = 4204696608

Therefore, the lowest common multiple of 724,668,378,736 is 4204696608.

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.

724 x 668 x 378 x 736 = 134550291456

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.

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

668 : 1, 2, 4, 167, 334, 668

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,668,378,736, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

668:2x 2x 167

378:2x 3x 3x 3x 7

736:2x 2x 2x 2x 2x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 134550291456/(2x16)

LCM = 134550291456/32

LCM = 4204696608

Thus, we can understand that the LCM of 724,668,378,736 is 4204696608.

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

• LCM of 735, 575, 930, 148
• LCM of 550, 700, 730, 653
• LCM of 231, 733, 413, 632
• LCM of 363, 908, 765, 723
• LCM of 355, 162, 817, 315

1. What is the LCM of 724, 668, 378, 736?

Answer: LCM of 724, 668, 378, 736 is 4204696608.

2. How to calculate the LCM of 724, 668, 378, 736?

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 724, 668, 378, 736.

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}.