Given numbers are 158,238,460,936,420

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

The LCM of 158,238,460,936,420 is 1011923640.

Find LCM of 158,238,460,936,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 79 x 17 x 23 x 78 x 1 = 1011923640

Therefore, the lowest common multiple of 158,238,460,936,420 is 1011923640.

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.

158 x 238 x 460 x 936 x 420 = 6800126860800

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.

158 : 1, 2, 79, 158

238 : 1, 2, 7, 14, 17, 34, 119, 238

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,238,460,936,420, is 2.

Now, the common factors can be found like this.

158:2x 79

238:2x 7x 17

460:2x 2x 5x 23

936:2x 2x 2x 3x 3x 13

420:2x 2x 3x 5x 7

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 2x 2x 3x 5x 7 = 3360

Therefore, the value for common factors is 3360.

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 = 6800126860800/(2x3360)

LCM = 6800126860800/6720

LCM = 1011923640

Thus, we can understand that the LCM of 158,238,460,936,420 is 1011923640.

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

• LCM of 310, 357, 434, 130, 677
• LCM of 623, 502, 593, 889, 109
• LCM of 995, 715, 409, 648, 186
• LCM of 397, 379, 139, 603, 612
• LCM of 541, 771, 637, 641, 118

1. What is the LCM of 158, 238, 460, 936, 420?

Answer: LCM of 158, 238, 460, 936, 420 is 1011923640.

2. How to calculate the LCM of 158, 238, 460, 936, 420?

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 158, 238, 460, 936, 420.

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}.