Given numbers are 861,410,458,407

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

The LCM of 861,410,458,407 is 802477830.

Find LCM of 861,410,458,407 with Prime Factorization

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

2 x 41 x 21 x 5 x 229 x 407 = 802477830

Therefore, the lowest common multiple of 861,410,458,407 is 802477830.

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.

861 x 410 x 458 x 407 = 65803182060

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

410 : 1, 2, 5, 10, 41, 82, 205, 410

458 : 1, 2, 229, 458

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,410,458,407, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

410:2x 5x 41

458:2x 229

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 41 = 82

Therefore, the value for common factors is 82.

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 = 65803182060/(1x82)

LCM = 65803182060/82

LCM = 802477830

Thus, we can understand that the LCM of 861,410,458,407 is 802477830.

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

• LCM of 166, 700, 609, 308
• LCM of 301, 517, 608, 531
• LCM of 607, 790, 781, 385
• LCM of 519, 451, 895, 109
• LCM of 545, 223, 534, 897

1. What is the LCM of 861, 410, 458, 407?

Answer: LCM of 861, 410, 458, 407 is 802477830.

2. How to calculate the LCM of 861, 410, 458, 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 861, 410, 458, 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}.