Given numbers are 705,894,319,104

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

The LCM of 705,894,319,104 is 3484972920.

Find LCM of 705,894,319,104 with Prime Factorization

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

2 x 3 x 235 x 149 x 319 x 52 = 3484972920

Therefore, the lowest common multiple of 705,894,319,104 is 3484972920.

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.

705 x 894 x 319 x 104 = 20909837520

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

894 : 1, 2, 3, 6, 149, 298, 447, 894

319 : 1, 11, 29, 319

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,894,319,104, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

894:2x 3x 149

319:11x 29

104:2x 2x 2x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 20909837520/(1x6)

LCM = 20909837520/6

LCM = 3484972920

Thus, we can understand that the LCM of 705,894,319,104 is 3484972920.

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

• LCM of 689, 822, 758, 454
• LCM of 201, 485, 924, 777
• LCM of 514, 698, 723, 232
• LCM of 356, 482, 946, 956
• LCM of 891, 764, 979, 368

1. What is the LCM of 705, 894, 319, 104?

Answer: LCM of 705, 894, 319, 104 is 3484972920.

2. How to calculate the LCM of 705, 894, 319, 104?

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 705, 894, 319, 104.

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}.