Given numbers are 361,322,782,667

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

The LCM of 361,322,782,667 is 57307306.

Find LCM of 361,322,782,667 with Prime Factorization

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

2 x 23 x 361 x 7 x 17 x 29 = 57307306

Therefore, the lowest common multiple of 361,322,782,667 is 57307306.

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.

361 x 322 x 782 x 667 = 60631129748

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.

361 : 1, 19, 361

322 : 1, 2, 7, 14, 23, 46, 161, 322

782 : 1, 2, 17, 23, 34, 46, 391, 782

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,322,782,667, is 1.

Now, the common factors can be found like this.

361:19x 19

322:2x 7x 23

782:2x 17x 23

667:23x 29

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 60631129748/(1x1058)

LCM = 60631129748/1058

LCM = 57307306

Thus, we can understand that the LCM of 361,322,782,667 is 57307306.

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

• LCM of 912, 849, 656, 189
• LCM of 728, 150, 327, 865
• LCM of 758, 353, 117, 816
• LCM of 936, 245, 666, 660
• LCM of 333, 865, 793, 450

1. What is the LCM of 361, 322, 782, 667?

Answer: LCM of 361, 322, 782, 667 is 57307306.

2. How to calculate the LCM of 361, 322, 782, 667?

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 361, 322, 782, 667.

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}.