Given numbers are 344,506,689,958

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

The LCM of 344,506,689,958 is 28723257992.

Find LCM of 344,506,689,958 with Prime Factorization

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

2 x 172 x 253 x 689 x 479 = 28723257992

Therefore, the lowest common multiple of 344,506,689,958 is 28723257992.

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.

344 x 506 x 689 x 958 = 114893031968

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

689 : 1, 13, 53, 689

958 : 1, 2, 479, 958

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,506,689,958, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

506:2x 11x 23

689:13x 53

958:2x 479

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 114893031968/(1x4)

LCM = 114893031968/4

LCM = 28723257992

Thus, we can understand that the LCM of 344,506,689,958 is 28723257992.

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

• LCM of 550, 148, 176, 539
• LCM of 254, 927, 684, 352
• LCM of 675, 300, 853, 470
• LCM of 355, 295, 108, 796
• LCM of 755, 779, 849, 522

1. What is the LCM of 344, 506, 689, 958?

Answer: LCM of 344, 506, 689, 958 is 28723257992.

2. How to calculate the LCM of 344, 506, 689, 958?

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 344, 506, 689, 958.

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}.