Given numbers are 536,576,128,292

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

The LCM of 536,576,128,292 is 5634432.

Find LCM of 536,576,128,292 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 67 x 9 x 2 x 73 = 5634432

Therefore, the lowest common multiple of 536,576,128,292 is 5634432.

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.

536 x 576 x 128 x 292 = 11539316736

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

292 : 1, 2, 4, 73, 146, 292

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,576,128,292, is 4.

Now, the common factors can be found like this.

536:2x 2x 2x 67

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

128:2x 2x 2x 2x 2x 2x 2

292:2x 2x 73

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 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 11539316736/(4x512)

LCM = 11539316736/2048

LCM = 5634432

Thus, we can understand that the LCM of 536,576,128,292 is 5634432.

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

• LCM of 662, 633, 482, 243
• LCM of 943, 181, 837, 432
• LCM of 678, 886, 183, 276
• LCM of 568, 790, 996, 367
• LCM of 852, 208, 351, 644

1. What is the LCM of 536, 576, 128, 292?

Answer: LCM of 536, 576, 128, 292 is 5634432.

2. How to calculate the LCM of 536, 576, 128, 292?

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 536, 576, 128, 292.

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}.