Given numbers are 228,428,129,776,936

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

The LCM of 228,428,129,776,936 is 7936945848.

Find LCM of 228,428,129,776,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 107 x 43 x 97 x 39 = 7936945848

Therefore, the lowest common multiple of 228,428,129,776,936 is 7936945848.

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.

228 x 428 x 129 x 776 x 936 = 9143361616896

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.

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

428 : 1, 2, 4, 107, 214, 428

129 : 1, 3, 43, 129

776 : 1, 2, 4, 8, 97, 194, 388, 776

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 228,428,129,776,936, is 1.

Now, the common factors can be found like this.

228:2x 2x 3x 19

428:2x 2x 107

129:3x 43

776:2x 2x 2x 97

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 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 9143361616896/(1x1152)

LCM = 9143361616896/1152

LCM = 7936945848

Thus, we can understand that the LCM of 228,428,129,776,936 is 7936945848.

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

• LCM of 581, 267, 901, 471, 836
• LCM of 477, 330, 805, 490, 563
• LCM of 123, 121, 546, 671, 986
• LCM of 704, 839, 144, 836, 776
• LCM of 578, 838, 248, 495, 748

1. What is the LCM of 228, 428, 129, 776, 936?

Answer: LCM of 228, 428, 129, 776, 936 is 7936945848.

2. How to calculate the LCM of 228, 428, 129, 776, 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 228, 428, 129, 776, 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}.