Given numbers are 840,950,874,506

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

The LCM of 840,950,874,506 is 20189400.

Find LCM of 840,950,874,506 with Prime Factorization

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

2 x 5 x 19 x 23 x 84 x 5 x 1 x 11 = 20189400

Therefore, the lowest common multiple of 840,950,874,506 is 20189400.

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 950 x 874 x 506 = 352910712000

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,950,874,506, is 2.

Now, the common factors can be found like this.

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

950:2x 5x 5x 19

874:2x 19x 23

506:2x 11x 23

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 5x 19x 23 = 8740

Therefore, the value for common factors is 8740.

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 = 352910712000/(2x8740)

LCM = 352910712000/17480

LCM = 20189400

Thus, we can understand that the LCM of 840,950,874,506 is 20189400.

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

• LCM of 516, 192, 224, 107
• LCM of 901, 443, 587, 882
• LCM of 870, 366, 393, 578
• LCM of 660, 341, 105, 454
• LCM of 302, 907, 142, 374

1. What is the LCM of 840, 950, 874, 506?

Answer: LCM of 840, 950, 874, 506 is 20189400.

2. How to calculate the LCM of 840, 950, 874, 506?

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, 950, 874, 506.

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}.