Given numbers are 315,584,698,125,137

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

The LCM of 315,584,698,125,137 is 219891987000.

Find LCM of 315,584,698,125,137 with Prime Factorization

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

2 x 5 x 63 x 292 x 349 x 25 x 137 = 219891987000

Therefore, the lowest common multiple of 315,584,698,125,137 is 219891987000.

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.

315 x 584 x 698 x 125 x 137 = 2198919870000

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

584 : 1, 2, 4, 8, 73, 146, 292, 584

698 : 1, 2, 349, 698

125 : 1, 5, 25, 125

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,584,698,125,137, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

584:2x 2x 2x 73

698:2x 349

125:5x 5x 5

137:137

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 2198919870000/(1x10)

LCM = 2198919870000/10

LCM = 219891987000

Thus, we can understand that the LCM of 315,584,698,125,137 is 219891987000.

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

• LCM of 854, 974, 337, 457, 717
• LCM of 652, 763, 560, 904, 370
• LCM of 119, 724, 399, 577, 132
• LCM of 114, 752, 139, 754, 856
• LCM of 998, 770, 563, 669, 155

1. What is the LCM of 315, 584, 698, 125, 137?

Answer: LCM of 315, 584, 698, 125, 137 is 219891987000.

2. How to calculate the LCM of 315, 584, 698, 125, 137?

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 315, 584, 698, 125, 137.

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}.