Given numbers are 840,442,746,568

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

The LCM of 840,442,746,568 is 4916304120.

Find LCM of 840,442,746,568 with Prime Factorization

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

2 x 2 x 2 x 105 x 221 x 373 x 71 = 4916304120

Therefore, the lowest common multiple of 840,442,746,568 is 4916304120.

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.

840 x 442 x 746 x 568 = 157321731840

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

442 : 1, 2, 13, 17, 26, 34, 221, 442

746 : 1, 2, 373, 746

568 : 1, 2, 4, 8, 71, 142, 284, 568

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,442,746,568, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

442:2x 13x 17

746:2x 373

568:2x 2x 2x 71

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 2 = 16

Therefore, the value for common factors is 16.

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 = 157321731840/(2x16)

LCM = 157321731840/32

LCM = 4916304120

Thus, we can understand that the LCM of 840,442,746,568 is 4916304120.

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

• LCM of 208, 769, 516, 621
• LCM of 576, 235, 778, 471
• LCM of 902, 902, 602, 615
• LCM of 795, 233, 569, 274
• LCM of 129, 643, 586, 713

1. What is the LCM of 840, 442, 746, 568?

Answer: LCM of 840, 442, 746, 568 is 4916304120.

2. How to calculate the LCM of 840, 442, 746, 568?

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 840, 442, 746, 568.

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}.