Given numbers are 507,214,554,708,519

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

The LCM of 507,214,554,708,519 is 613521253644.

Find LCM of 507,214,554,708,519 with Prime Factorization

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

2 x 3 x 169 x 107 x 277 x 118 x 173 = 613521253644

Therefore, the lowest common multiple of 507,214,554,708,519 is 613521253644.

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 214 x 554 x 708 x 519 = 22086765131184

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

214 : 1, 2, 107, 214

554 : 1, 2, 277, 554

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,214,554,708,519, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

214:2x 107

554:2x 277

708:2x 2x 3x 59

519:3x 173

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 22086765131184/(1x36)

LCM = 22086765131184/36

LCM = 613521253644

Thus, we can understand that the LCM of 507,214,554,708,519 is 613521253644.

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

• LCM of 750, 757, 641, 968, 289
• LCM of 968, 600, 689, 992, 662
• LCM of 889, 255, 522, 391, 427
• LCM of 469, 922, 922, 859, 106
• LCM of 956, 957, 146, 491, 729

1. What is the LCM of 507, 214, 554, 708, 519?

Answer: LCM of 507, 214, 554, 708, 519 is 613521253644.

2. How to calculate the LCM of 507, 214, 554, 708, 519?

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, 214, 554, 708, 519.

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}.