Given numbers are 742,337,288

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

The LCM of 742,337,288 is 36007776.

Find LCM of 742,337,288 with Prime Factorization

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

2 x 371 x 337 x 144 = 36007776

Therefore, the lowest common multiple of 742,337,288 is 36007776.

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 337 x 288 = 72015552

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

337 : 1, 337

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,337,288, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

337:337

288:2x 2x 2x 2x 2x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 72015552/(1x2)

LCM = 72015552/2

LCM = 36007776

Thus, we can understand that the LCM of 742,337,288 is 36007776.

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

• LCM of 743, 234, 750
• LCM of 748, 899, 839
• LCM of 966, 433, 654
• LCM of 132, 781, 775
• LCM of 750, 290, 107

1. What is the LCM of 742, 337, 288?

Answer: LCM of 742, 337, 288 is 36007776.

2. How to calculate the LCM of 742, 337, 288?

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, 337, 288.

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}.