Given numbers are 726,528,829,391,690

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

The LCM of 726,528,829,391,690 is 9412996560.

Find LCM of 726,528,829,391,690 with Prime Factorization

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

2 x 3 x 11 x 23 x 11 x 8 x 829 x 17 x 5 = 9412996560

Therefore, the lowest common multiple of 726,528,829,391,690 is 9412996560.

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.

726 x 528 x 829 x 391 x 690 = 85733572668480

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

829 : 1, 829

391 : 1, 17, 23, 391

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,528,829,391,690, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

528:2x 2x 2x 2x 3x 11

829:829

391:17x 23

690:2x 3x 5x 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 3x 3x 11x 23 = 9108

Therefore, the value for common factors is 9108.

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 = 85733572668480/(1x9108)

LCM = 85733572668480/9108

LCM = 9412996560

Thus, we can understand that the LCM of 726,528,829,391,690 is 9412996560.

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

• LCM of 762, 389, 406, 612, 136
• LCM of 993, 546, 794, 221, 994
• LCM of 803, 419, 517, 335, 609
• LCM of 553, 916, 854, 436, 740
• LCM of 967, 262, 713, 281, 576

1. What is the LCM of 726, 528, 829, 391, 690?

Answer: LCM of 726, 528, 829, 391, 690 is 9412996560.

2. How to calculate the LCM of 726, 528, 829, 391, 690?

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 726, 528, 829, 391, 690.

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}.