Given numbers are 768,576,201,397

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

The LCM of 768,576,201,397 is 61284096.

Find LCM of 768,576,201,397 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 4 x 3 x 67 x 397 = 61284096

Therefore, the lowest common multiple of 768,576,201,397 is 61284096.

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.

768 x 576 x 201 x 397 = 35299639296

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

201 : 1, 3, 67, 201

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,576,201,397, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

576:2x 2x 2x 2x 2x 2x 3x 3

201:3x 67

397:397

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 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 35299639296/(1x576)

LCM = 35299639296/576

LCM = 61284096

Thus, we can understand that the LCM of 768,576,201,397 is 61284096.

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

• LCM of 996, 658, 111, 978
• LCM of 134, 420, 562, 703
• LCM of 776, 289, 303, 439
• LCM of 823, 919, 642, 626
• LCM of 490, 800, 886, 709

1. What is the LCM of 768, 576, 201, 397?

Answer: LCM of 768, 576, 201, 397 is 61284096.

2. How to calculate the LCM of 768, 576, 201, 397?

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 768, 576, 201, 397.

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}.