Given numbers are 679,749,742,966,598

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

The LCM of 679,749,742,966,598 is 6907992546.

Find LCM of 679,749,742,966,598 with Prime Factorization

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

2 x 7 x 23 x 97 x 107 x 53 x 3 x 13 = 6907992546

Therefore, the lowest common multiple of 679,749,742,966,598 is 6907992546.

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.

679 x 749 x 742 x 966 x 598 = 217988612781576

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.

679 : 1, 7, 97, 679

749 : 1, 7, 107, 749

742 : 1, 2, 7, 14, 53, 106, 371, 742

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 679,749,742,966,598, is 1.

Now, the common factors can be found like this.

679:7x 97

749:7x 107

742:2x 7x 53

966:2x 3x 7x 23

598:2x 13x 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 7x 7x 7x 23 = 31556

Therefore, the value for common factors is 31556.

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 = 217988612781576/(1x31556)

LCM = 217988612781576/31556

LCM = 6907992546

Thus, we can understand that the LCM of 679,749,742,966,598 is 6907992546.

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

• LCM of 528, 831, 538, 767, 641
• LCM of 315, 608, 545, 880, 360
• LCM of 520, 853, 403, 738, 692
• LCM of 233, 865, 144, 656, 430
• LCM of 563, 990, 900, 549, 480

1. What is the LCM of 679, 749, 742, 966, 598?

Answer: LCM of 679, 749, 742, 966, 598 is 6907992546.

2. How to calculate the LCM of 679, 749, 742, 966, 598?

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 679, 749, 742, 966, 598.

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}.