Given numbers are 726,706,432,832

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

The LCM of 726,706,432,832 is 959504832.

Find LCM of 726,706,432,832 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 121 x 353 x 9 x 52 = 959504832

Therefore, the lowest common multiple of 726,706,432,832 is 959504832.

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.

726 x 706 x 432 x 832 = 184224927744

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.

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

706 : 1, 2, 353, 706

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

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,706,432,832, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

706:2x 353

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

832:2x 2x 2x 2x 2x 2x 13

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 3 = 96

Therefore, the value for common factors is 96.

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 = 184224927744/(2x96)

LCM = 184224927744/192

LCM = 959504832

Thus, we can understand that the LCM of 726,706,432,832 is 959504832.

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

• LCM of 222, 747, 740, 850
• LCM of 895, 654, 377, 174
• LCM of 211, 362, 752, 143
• LCM of 604, 143, 427, 187
• LCM of 843, 145, 968, 969

1. What is the LCM of 726, 706, 432, 832?

Answer: LCM of 726, 706, 432, 832 is 959504832.

2. How to calculate the LCM of 726, 706, 432, 832?

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 726, 706, 432, 832.

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}.