Given numbers are 507,375,678,697

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

The LCM of 507,375,678,697 is 9982956750.

Find LCM of 507,375,678,697 with Prime Factorization

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

3 x 169 x 125 x 226 x 697 = 9982956750

Therefore, the lowest common multiple of 507,375,678,697 is 9982956750.

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.

507 x 375 x 678 x 697 = 89846610750

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.

507 : 1, 3, 13, 39, 169, 507

375 : 1, 3, 5, 15, 25, 75, 125, 375

678 : 1, 2, 3, 6, 113, 226, 339, 678

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,375,678,697, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

375:3x 5x 5x 5

678:2x 3x 113

697:17x 41

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 89846610750/(1x9)

LCM = 89846610750/9

LCM = 9982956750

Thus, we can understand that the LCM of 507,375,678,697 is 9982956750.

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

• LCM of 497, 815, 872, 223
• LCM of 964, 479, 565, 212
• LCM of 255, 613, 545, 209
• LCM of 673, 722, 442, 668
• LCM of 848, 865, 780, 168

1. What is the LCM of 507, 375, 678, 697?

Answer: LCM of 507, 375, 678, 697 is 9982956750.

2. How to calculate the LCM of 507, 375, 678, 697?

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 507, 375, 678, 697.

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}.