Given numbers are 430,620,972,392,538

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

The LCM of 430,620,972,392,538 is 170783053560.

Find LCM of 430,620,972,392,538 with Prime Factorization

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

2 x 2 x 5 x 43 x 31 x 243 x 98 x 269 = 170783053560

Therefore, the lowest common multiple of 430,620,972,392,538 is 170783053560.

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.

430 x 620 x 972 x 392 x 538 = 54650577139200

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,620,972,392,538, is 2.

Now, the common factors can be found like this.

430:2x 5x 43

620:2x 2x 5x 31

972:2x 2x 3x 3x 3x 3x 3

392:2x 2x 2x 7x 7

538:2x 269

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 5 = 160

Therefore, the value for common factors is 160.

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 = 54650577139200/(2x160)

LCM = 54650577139200/320

LCM = 170783053560

Thus, we can understand that the LCM of 430,620,972,392,538 is 170783053560.

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

• LCM of 781, 240, 120, 349, 926
• LCM of 120, 254, 378, 642, 945
• LCM of 439, 972, 929, 446, 129
• LCM of 375, 643, 287, 804, 537
• LCM of 979, 399, 450, 178, 270

1. What is the LCM of 430, 620, 972, 392, 538?

Answer: LCM of 430, 620, 972, 392, 538 is 170783053560.

2. How to calculate the LCM of 430, 620, 972, 392, 538?

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 430, 620, 972, 392, 538.

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}.