Given numbers are 742,438,653,192,134

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

The LCM of 742,438,653,192,134 is 227502399936.

Find LCM of 742,438,653,192,134 with Prime Factorization

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

2 x 3 x 371 x 73 x 653 x 32 x 67 = 227502399936

Therefore, the lowest common multiple of 742,438,653,192,134 is 227502399936.

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.

742 x 438 x 653 x 192 x 134 = 5460057598464

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

438 : 1, 2, 3, 6, 73, 146, 219, 438

653 : 1, 653

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

134 : 1, 2, 67, 134

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,438,653,192,134, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

438:2x 3x 73

653:653

192:2x 2x 2x 2x 2x 2x 3

134:2x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5460057598464/(1x24)

LCM = 5460057598464/24

LCM = 227502399936

Thus, we can understand that the LCM of 742,438,653,192,134 is 227502399936.

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

• LCM of 938, 240, 705, 227, 608
• LCM of 479, 353, 786, 453, 849
• LCM of 564, 355, 714, 898, 358
• LCM of 470, 658, 465, 350, 713
• LCM of 149, 317, 393, 336, 666

1. What is the LCM of 742, 438, 653, 192, 134?

Answer: LCM of 742, 438, 653, 192, 134 is 227502399936.

2. How to calculate the LCM of 742, 438, 653, 192, 134?

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 742, 438, 653, 192, 134.

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}.