Given numbers are 506,737,292,980,759

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

The LCM of 506,737,292,980,759 is 3638023620.

Find LCM of 506,737,292,980,759 with Prime Factorization

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

2 x 2 x 11 x 23 x 1 x 67 x 73 x 245 x 3 = 3638023620

Therefore, the lowest common multiple of 506,737,292,980,759 is 3638023620.

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.

506 x 737 x 292 x 980 x 759 = 80996957875680

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

737 : 1, 11, 67, 737

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,737,292,980,759, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

737:11x 67

292:2x 2x 73

980:2x 2x 5x 7x 7

759:3x 11x 23

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 11x 11x 23 = 22264

Therefore, the value for common factors is 22264.

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 = 80996957875680/(1x22264)

LCM = 80996957875680/22264

LCM = 3638023620

Thus, we can understand that the LCM of 506,737,292,980,759 is 3638023620.

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

• LCM of 736, 803, 177, 982, 289
• LCM of 160, 847, 252, 120, 536
• LCM of 943, 970, 861, 836, 842
• LCM of 840, 981, 727, 887, 415
• LCM of 979, 143, 365, 451, 575

1. What is the LCM of 506, 737, 292, 980, 759?

Answer: LCM of 506, 737, 292, 980, 759 is 3638023620.

2. How to calculate the LCM of 506, 737, 292, 980, 759?

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 506, 737, 292, 980, 759.

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}.