Given numbers are 364,652,291,421,742

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

The LCM of 364,652,291,421,742 is 385247600556.

Find LCM of 364,652,291,421,742 with Prime Factorization

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

2 x 2 x 7 x 13 x 163 x 291 x 421 x 53 = 385247600556

Therefore, the lowest common multiple of 364,652,291,421,742 is 385247600556.

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.

364 x 652 x 291 x 421 x 742 = 21573865631136

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

652 : 1, 2, 4, 163, 326, 652

291 : 1, 3, 97, 291

421 : 1, 421

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,652,291,421,742, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

652:2x 2x 163

291:3x 97

421:421

742:2x 7x 53

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 7 = 56

Therefore, the value for common factors is 56.

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 = 21573865631136/(1x56)

LCM = 21573865631136/56

LCM = 385247600556

Thus, we can understand that the LCM of 364,652,291,421,742 is 385247600556.

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

• LCM of 490, 349, 895, 142, 258
• LCM of 592, 137, 100, 568, 897
• LCM of 593, 340, 917, 951, 356
• LCM of 823, 686, 233, 366, 654
• LCM of 439, 535, 570, 134, 345

1. What is the LCM of 364, 652, 291, 421, 742?

Answer: LCM of 364, 652, 291, 421, 742 is 385247600556.

2. How to calculate the LCM of 364, 652, 291, 421, 742?

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 364, 652, 291, 421, 742.

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}.