Given numbers are 536,301,208,936

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

The LCM of 536,301,208,936 is 37752624.

Find LCM of 536,301,208,936 with Prime Factorization

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

2 x 2 x 2 x 13 x 67 x 301 x 2 x 9 = 37752624

Therefore, the lowest common multiple of 536,301,208,936 is 37752624.

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 301 x 208 x 936 = 31410183168

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

301 : 1, 7, 43, 301

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,301,208,936, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

301:7x 43

208:2x 2x 2x 2x 13

936:2x 2x 2x 3x 3x 13

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 13 = 832

Therefore, the value for common factors is 832.

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 = 31410183168/(1x832)

LCM = 31410183168/832

LCM = 37752624

Thus, we can understand that the LCM of 536,301,208,936 is 37752624.

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

• LCM of 324, 353, 578, 390
• LCM of 974, 200, 426, 742
• LCM of 207, 557, 768, 400
• LCM of 264, 507, 104, 196
• LCM of 116, 516, 997, 229

1. What is the LCM of 536, 301, 208, 936?

Answer: LCM of 536, 301, 208, 936 is 37752624.

2. How to calculate the LCM of 536, 301, 208, 936?

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, 301, 208, 936.

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}.