Given numbers are 742,196,706,409

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

The LCM of 742,196,706,409 is 1499788276.

Find LCM of 742,196,706,409 with Prime Factorization

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

2 x 7 x 53 x 14 x 353 x 409 = 1499788276

Therefore, the lowest common multiple of 742,196,706,409 is 1499788276.

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.

742 x 196 x 706 x 409 = 41994071728

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.

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

706 : 1, 2, 353, 706

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,196,706,409, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

196:2x 2x 7x 7

706:2x 353

409:409

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 7 = 28

Therefore, the value for common factors is 28.

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 = 41994071728/(1x28)

LCM = 41994071728/28

LCM = 1499788276

Thus, we can understand that the LCM of 742,196,706,409 is 1499788276.

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

• LCM of 679, 550, 237, 357
• LCM of 571, 452, 417, 984
• LCM of 656, 281, 981, 351
• LCM of 420, 207, 413, 209
• LCM of 334, 587, 532, 225

1. What is the LCM of 742, 196, 706, 409?

Answer: LCM of 742, 196, 706, 409 is 1499788276.

2. How to calculate the LCM of 742, 196, 706, 409?

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 742, 196, 706, 409.

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}.