Given numbers are 874,290,382,780

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

The LCM of 874,290,382,780 is 1888023540.

Find LCM of 874,290,382,780 with Prime Factorization

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

2 x 5 x 437 x 29 x 191 x 78 = 1888023540

Therefore, the lowest common multiple of 874,290,382,780 is 1888023540.

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.

874 x 290 x 382 x 780 = 75520941600

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

290 : 1, 2, 5, 10, 29, 58, 145, 290

382 : 1, 2, 191, 382

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,290,382,780, is 2.

Now, the common factors can be found like this.

874:2x 19x 23

290:2x 5x 29

382:2x 191

780:2x 2x 3x 5x 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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 75520941600/(2x20)

LCM = 75520941600/40

LCM = 1888023540

Thus, we can understand that the LCM of 874,290,382,780 is 1888023540.

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

• LCM of 121, 579, 902, 231
• LCM of 947, 362, 630, 144
• LCM of 776, 166, 904, 180
• LCM of 666, 489, 543, 734
• LCM of 438, 668, 375, 895

1. What is the LCM of 874, 290, 382, 780?

Answer: LCM of 874, 290, 382, 780 is 1888023540.

2. How to calculate the LCM of 874, 290, 382, 780?

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 874, 290, 382, 780.

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}.