Given numbers are 840,786,828,103,674

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

The LCM of 840,786,828,103,674 is 263552292360.

Find LCM of 840,786,828,103,674 with Prime Factorization

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

2 x 2 x 3 x 70 x 131 x 69 x 103 x 337 = 263552292360

Therefore, the lowest common multiple of 840,786,828,103,674 is 263552292360.

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 786 x 828 x 103 x 674 = 37951530099840

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

103 : 1, 103

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,786,828,103,674, is 1.

Now, the common factors can be found like this.

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

786:2x 3x 131

828:2x 2x 3x 3x 23

103:103

674:2x 337

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 37951530099840/(1x144)

LCM = 37951530099840/144

LCM = 263552292360

Thus, we can understand that the LCM of 840,786,828,103,674 is 263552292360.

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

• LCM of 418, 195, 905, 598, 119
• LCM of 517, 757, 447, 436, 471
• LCM of 600, 378, 425, 858, 657
• LCM of 719, 406, 989, 711, 373
• LCM of 261, 459, 450, 912, 242

1. What is the LCM of 840, 786, 828, 103, 674?

Answer: LCM of 840, 786, 828, 103, 674 is 263552292360.

2. How to calculate the LCM of 840, 786, 828, 103, 674?

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, 786, 828, 103, 674.

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}.