Given numbers are 919,756,438,670,516

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

The LCM of 919,756,438,670,516 is 730589505660.

Find LCM of 919,756,438,670,516 with Prime Factorization

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

2 x 2 x 3 x 919 x 63 x 73 x 335 x 43 = 730589505660

Therefore, the lowest common multiple of 919,756,438,670,516 is 730589505660.

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.

919 x 756 x 438 x 670 x 516 = 105204888815040

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.

919 : 1, 919

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

438 : 1, 2, 3, 6, 73, 146, 219, 438

670 : 1, 2, 5, 10, 67, 134, 335, 670

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,756,438,670,516, is 1.

Now, the common factors can be found like this.

919:919

756:2x 2x 3x 3x 3x 7

438:2x 3x 73

670:2x 5x 67

516:2x 2x 3x 43

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 105204888815040/(1x144)

LCM = 105204888815040/144

LCM = 730589505660

Thus, we can understand that the LCM of 919,756,438,670,516 is 730589505660.

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

• LCM of 912, 309, 467, 200, 529
• LCM of 336, 920, 339, 134, 987
• LCM of 117, 727, 593, 738, 879
• LCM of 298, 245, 613, 696, 284
• LCM of 878, 211, 233, 201, 910

1. What is the LCM of 919, 756, 438, 670, 516?

Answer: LCM of 919, 756, 438, 670, 516 is 730589505660.

2. How to calculate the LCM of 919, 756, 438, 670, 516?

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 919, 756, 438, 670, 516.

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}.