Given numbers are 874,282,900,642,958

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

The LCM of 874,282,900,642,958 is 947416830300.

Find LCM of 874,282,900,642,958 with Prime Factorization

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

2 x 3 x 437 x 47 x 150 x 107 x 479 = 947416830300

Therefore, the lowest common multiple of 874,282,900,642,958 is 947416830300.

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 282 x 900 x 642 x 958 = 136428023563200

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

642 : 1, 2, 3, 6, 107, 214, 321, 642

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,282,900,642,958, is 2.

Now, the common factors can be found like this.

874:2x 19x 23

282:2x 3x 47

900:2x 2x 3x 3x 5x 5

642:2x 3x 107

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 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 136428023563200/(2x72)

LCM = 136428023563200/144

LCM = 947416830300

Thus, we can understand that the LCM of 874,282,900,642,958 is 947416830300.

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

• LCM of 237, 544, 865, 448, 575
• LCM of 957, 674, 933, 240, 379
• LCM of 591, 791, 147, 587, 432
• LCM of 835, 957, 950, 153, 228
• LCM of 341, 691, 291, 590, 618

1. What is the LCM of 874, 282, 900, 642, 958?

Answer: LCM of 874, 282, 900, 642, 958 is 947416830300.

2. How to calculate the LCM of 874, 282, 900, 642, 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 874, 282, 900, 642, 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}.