Given numbers are 722,692,121,410,138

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

The LCM of 722,692,121,410,138 is 427564479540.

Find LCM of 722,692,121,410,138 with Prime Factorization

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

2 x 361 x 346 x 121 x 205 x 69 = 427564479540

Therefore, the lowest common multiple of 722,692,121,410,138 is 427564479540.

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.

722 x 692 x 121 x 410 x 138 = 3420515836320

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.

722 : 1, 2, 19, 38, 361, 722

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

121 : 1, 11, 121

410 : 1, 2, 5, 10, 41, 82, 205, 410

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,692,121,410,138, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

692:2x 2x 173

121:11x 11

410:2x 5x 41

138:2x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3420515836320/(1x8)

LCM = 3420515836320/8

LCM = 427564479540

Thus, we can understand that the LCM of 722,692,121,410,138 is 427564479540.

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

• LCM of 410, 612, 493, 700, 289
• LCM of 332, 419, 168, 199, 659
• LCM of 287, 247, 898, 960, 470
• LCM of 443, 306, 600, 924, 502
• LCM of 929, 367, 265, 329, 897

1. What is the LCM of 722, 692, 121, 410, 138?

Answer: LCM of 722, 692, 121, 410, 138 is 427564479540.

2. How to calculate the LCM of 722, 692, 121, 410, 138?

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 722, 692, 121, 410, 138.

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}.