Given numbers are 740,742,408

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

The LCM of 740,742,408 is 28003080.

Find LCM of 740,742,408 with Prime Factorization

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

2 x 2 x 185 x 371 x 102 = 28003080

Therefore, the lowest common multiple of 740,742,408 is 28003080.

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.

740 x 742 x 408 = 224024640

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,742,408, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

742:2x 7x 53

408:2x 2x 2x 3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 224024640/(2x4)

LCM = 224024640/8

LCM = 28003080

Thus, we can understand that the LCM of 740,742,408 is 28003080.

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

• LCM of 260, 112, 883
• LCM of 127, 254, 475
• LCM of 606, 112, 238
• LCM of 166, 470, 830
• LCM of 116, 623, 915

1. What is the LCM of 740, 742, 408?

Answer: LCM of 740, 742, 408 is 28003080.

2. How to calculate the LCM of 740, 742, 408?

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 740, 742, 408.

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}.