Given numbers are 724,706,313,940,407

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

The LCM of 724,706,313,940,407 is 7651029573220.

Find LCM of 724,706,313,940,407 with Prime Factorization

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

2 x 2 x 181 x 353 x 313 x 235 x 407 = 7651029573220

Therefore, the lowest common multiple of 724,706,313,940,407 is 7651029573220.

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 706 x 313 x 940 x 407 = 61208236585760

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

706 : 1, 2, 353, 706

313 : 1, 313

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,706,313,940,407, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

706:2x 353

313:313

940:2x 2x 5x 47

407:11x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 61208236585760/(1x8)

LCM = 61208236585760/8

LCM = 7651029573220

Thus, we can understand that the LCM of 724,706,313,940,407 is 7651029573220.

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

• LCM of 170, 212, 108, 605, 810
• LCM of 880, 116, 141, 941, 216
• LCM of 468, 575, 773, 898, 253
• LCM of 263, 739, 882, 326, 272
• LCM of 608, 458, 454, 637, 124

1. What is the LCM of 724, 706, 313, 940, 407?

Answer: LCM of 724, 706, 313, 940, 407 is 7651029573220.

2. How to calculate the LCM of 724, 706, 313, 940, 407?

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, 706, 313, 940, 407.

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}.