Given numbers are 112,428,158,162,769

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

The LCM of 112,428,158,162,769 is 58971238704.

Find LCM of 112,428,158,162,769 with Prime Factorization

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

2 x 2 x 28 x 107 x 79 x 81 x 769 = 58971238704

Therefore, the lowest common multiple of 112,428,158,162,769 is 58971238704.

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.

112 x 428 x 158 x 162 x 769 = 943539819264

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

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

158 : 1, 2, 79, 158

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,428,158,162,769, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

428:2x 2x 107

158:2x 79

162:2x 3x 3x 3x 3

769:769

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 2 = 16

Therefore, the value for common factors is 16.

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 = 943539819264/(1x16)

LCM = 943539819264/16

LCM = 58971238704

Thus, we can understand that the LCM of 112,428,158,162,769 is 58971238704.

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

• LCM of 840, 711, 483, 856, 847
• LCM of 516, 889, 780, 856, 379
• LCM of 932, 200, 735, 610, 501
• LCM of 386, 199, 520, 800, 521
• LCM of 616, 655, 127, 728, 231

1. What is the LCM of 112, 428, 158, 162, 769?

Answer: LCM of 112, 428, 158, 162, 769 is 58971238704.

2. How to calculate the LCM of 112, 428, 158, 162, 769?

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 112, 428, 158, 162, 769.

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}.