Given numbers are 457,172,689,318

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

The LCM of 457,172,689,318 is 162474468.

Find LCM of 457,172,689,318 with Prime Factorization

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

2 x 53 x 457 x 86 x 13 x 3 = 162474468

Therefore, the lowest common multiple of 457,172,689,318 is 162474468.

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.

457 x 172 x 689 x 318 = 17222293608

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.

457 : 1, 457

172 : 1, 2, 4, 43, 86, 172

689 : 1, 13, 53, 689

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,172,689,318, is 1.

Now, the common factors can be found like this.

457:457

172:2x 2x 43

689:13x 53

318:2x 3x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 53 = 106

Therefore, the value for common factors is 106.

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 = 17222293608/(1x106)

LCM = 17222293608/106

LCM = 162474468

Thus, we can understand that the LCM of 457,172,689,318 is 162474468.

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

• LCM of 812, 985, 518, 858
• LCM of 251, 946, 890, 976
• LCM of 548, 272, 460, 855
• LCM of 581, 190, 894, 824
• LCM of 579, 795, 411, 663

1. What is the LCM of 457, 172, 689, 318?

Answer: LCM of 457, 172, 689, 318 is 162474468.

2. How to calculate the LCM of 457, 172, 689, 318?

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 457, 172, 689, 318.

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}.