Given numbers are 936,133,156,113,728

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

The LCM of 936,133,156,113,728 is 14067144.

Find LCM of 936,133,156,113,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 1 x 19 x 3 x 113 x 1 = 14067144

Therefore, the lowest common multiple of 936,133,156,113,728 is 14067144.

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 133 x 156 x 113 x 728 = 1597577409792

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

133 : 1, 7, 19, 133

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

113 : 1, 113

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,133,156,113,728, is 1.

Now, the common factors can be found like this.

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

133:7x 19

156:2x 2x 3x 13

113:113

728:2x 2x 2x 7x 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 3x 7x 13x 13 = 113568

Therefore, the value for common factors is 113568.

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 = 1597577409792/(1x113568)

LCM = 1597577409792/113568

LCM = 14067144

Thus, we can understand that the LCM of 936,133,156,113,728 is 14067144.

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

• LCM of 635, 364, 693, 830, 487
• LCM of 384, 960, 657, 144, 172
• LCM of 324, 752, 312, 607, 351
• LCM of 935, 103, 267, 885, 215
• LCM of 597, 531, 360, 756, 999

1. What is the LCM of 936, 133, 156, 113, 728?

Answer: LCM of 936, 133, 156, 113, 728 is 14067144.

2. How to calculate the LCM of 936, 133, 156, 113, 728?

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, 133, 156, 113, 728.

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}.