Given numbers are 689,262,296,742

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

The LCM of 689,262,296,742 is 187016648.

Find LCM of 689,262,296,742 with Prime Factorization

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

2 x 53 x 13 x 131 x 148 x 7 = 187016648

Therefore, the lowest common multiple of 689,262,296,742 is 187016648.

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.

689 x 262 x 296 x 742 = 39647529376

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.

689 : 1, 13, 53, 689

262 : 1, 2, 131, 262

296 : 1, 2, 4, 8, 37, 74, 148, 296

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 689,262,296,742, is 1.

Now, the common factors can be found like this.

689:13x 53

262:2x 131

296:2x 2x 2x 37

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 53 = 212

Therefore, the value for common factors is 212.

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 = 39647529376/(1x212)

LCM = 39647529376/212

LCM = 187016648

Thus, we can understand that the LCM of 689,262,296,742 is 187016648.

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

• LCM of 378, 830, 439, 139
• LCM of 118, 485, 508, 564
• LCM of 708, 787, 543, 147
• LCM of 320, 864, 895, 941
• LCM of 688, 575, 732, 690

1. What is the LCM of 689, 262, 296, 742?

Answer: LCM of 689, 262, 296, 742 is 187016648.

2. How to calculate the LCM of 689, 262, 296, 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 689, 262, 296, 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}.