Given numbers are 826,142,990,524

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

The LCM of 826,142,990,524 is 7605799740.

Find LCM of 826,142,990,524 with Prime Factorization

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

2 x 413 x 71 x 495 x 262 = 7605799740

Therefore, the lowest common multiple of 826,142,990,524 is 7605799740.

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.

826 x 142 x 990 x 524 = 60846397920

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

142 : 1, 2, 71, 142

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,142,990,524, is 2.

Now, the common factors can be found like this.

826:2x 7x 59

142:2x 71

990:2x 3x 3x 5x 11

524:2x 2x 131

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 60846397920/(2x4)

LCM = 60846397920/8

LCM = 7605799740

Thus, we can understand that the LCM of 826,142,990,524 is 7605799740.

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

• LCM of 294, 773, 747, 237
• LCM of 866, 723, 581, 456
• LCM of 449, 425, 559, 227
• LCM of 596, 243, 708, 897
• LCM of 537, 494, 936, 141

1. What is the LCM of 826, 142, 990, 524?

Answer: LCM of 826, 142, 990, 524 is 7605799740.

2. How to calculate the LCM of 826, 142, 990, 524?

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 826, 142, 990, 524.

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}.