Given numbers are 692,721,828,742,136

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

The LCM of 692,721,828,742,136 is 186108621048.

Find LCM of 692,721,828,742,136 with Prime Factorization

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

2 x 2 x 7 x 173 x 103 x 207 x 53 x 34 = 186108621048

Therefore, the lowest common multiple of 692,721,828,742,136 is 186108621048.

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.

692 x 721 x 828 x 742 x 136 = 41688331114752

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.

692 : 1, 2, 4, 173, 346, 692

721 : 1, 7, 103, 721

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,721,828,742,136, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

721:7x 103

828:2x 2x 3x 3x 23

742:2x 7x 53

136:2x 2x 2x 17

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 7 = 224

Therefore, the value for common factors is 224.

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 = 41688331114752/(1x224)

LCM = 41688331114752/224

LCM = 186108621048

Thus, we can understand that the LCM of 692,721,828,742,136 is 186108621048.

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

• LCM of 198, 822, 996, 172, 345
• LCM of 117, 529, 600, 899, 136
• LCM of 121, 579, 141, 568, 173
• LCM of 487, 843, 520, 874, 763
• LCM of 563, 929, 810, 361, 449

1. What is the LCM of 692, 721, 828, 742, 136?

Answer: LCM of 692, 721, 828, 742, 136 is 186108621048.

2. How to calculate the LCM of 692, 721, 828, 742, 136?

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 692, 721, 828, 742, 136.

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}.