Given numbers are 724,379,706,278

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

The LCM of 724,379,706,278 is 13463788532.

Find LCM of 724,379,706,278 with Prime Factorization

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

2 x 362 x 379 x 353 x 139 = 13463788532

Therefore, the lowest common multiple of 724,379,706,278 is 13463788532.

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 379 x 706 x 278 = 53855154128

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

379 : 1, 379

706 : 1, 2, 353, 706

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,379,706,278, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

379:379

706:2x 353

278:2x 139

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 53855154128/(1x4)

LCM = 53855154128/4

LCM = 13463788532

Thus, we can understand that the LCM of 724,379,706,278 is 13463788532.

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

• LCM of 399, 387, 739, 185
• LCM of 292, 882, 901, 565
• LCM of 260, 104, 718, 290
• LCM of 113, 275, 230, 811
• LCM of 616, 966, 570, 430

1. What is the LCM of 724, 379, 706, 278?

Answer: LCM of 724, 379, 706, 278 is 13463788532.

2. How to calculate the LCM of 724, 379, 706, 278?

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, 379, 706, 278.

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}.