Given numbers are 936,121,552,569,114

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

The LCM of 936,121,552,569,114 is 28161444168.

Find LCM of 936,121,552,569,114 with Prime Factorization

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

2 x 2 x 2 x 3 x 39 x 121 x 23 x 569 x 19 = 28161444168

Therefore, the lowest common multiple of 936,121,552,569,114 is 28161444168.

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.

936 x 121 x 552 x 569 x 114 = 4055247960192

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.

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

121 : 1, 11, 121

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

569 : 1, 569

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,121,552,569,114, is 1.

Now, the common factors can be found like this.

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

121:11x 11

552:2x 2x 2x 3x 23

569:569

114:2x 3x 19

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 4055247960192/(1x144)

LCM = 4055247960192/144

LCM = 28161444168

Thus, we can understand that the LCM of 936,121,552,569,114 is 28161444168.

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

• LCM of 346, 626, 926, 638, 325
• LCM of 444, 695, 509, 664, 346
• LCM of 572, 236, 916, 254, 603
• LCM of 390, 950, 726, 762, 162
• LCM of 222, 204, 935, 598, 488

1. What is the LCM of 936, 121, 552, 569, 114?

Answer: LCM of 936, 121, 552, 569, 114 is 28161444168.

2. How to calculate the LCM of 936, 121, 552, 569, 114?

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 936, 121, 552, 569, 114.

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}.