Given numbers are 842,611,195,828,546

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

The LCM of 842,611,195,828,546 is 7454554380.

Find LCM of 842,611,195,828,546 with Prime Factorization

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

2 x 3 x 13 x 421 x 47 x 5 x 138 x 7 = 7454554380

Therefore, the lowest common multiple of 842,611,195,828,546 is 7454554380.

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.

842 x 611 x 195 x 828 x 546 = 45353508847920

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.

842 : 1, 2, 421, 842

611 : 1, 13, 47, 611

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,611,195,828,546, is 1.

Now, the common factors can be found like this.

842:2x 421

611:13x 47

195:3x 5x 13

828:2x 2x 3x 3x 23

546:2x 3x 7x 13

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 3x 3x 13x 13 = 6084

Therefore, the value for common factors is 6084.

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 = 45353508847920/(1x6084)

LCM = 45353508847920/6084

LCM = 7454554380

Thus, we can understand that the LCM of 842,611,195,828,546 is 7454554380.

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

• LCM of 799, 201, 584, 786, 789
• LCM of 147, 878, 609, 678, 581
• LCM of 975, 921, 532, 591, 482
• LCM of 476, 110, 453, 951, 413
• LCM of 525, 169, 841, 339, 120

1. What is the LCM of 842, 611, 195, 828, 546?

Answer: LCM of 842, 611, 195, 828, 546 is 7454554380.

2. How to calculate the LCM of 842, 611, 195, 828, 546?

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 842, 611, 195, 828, 546.

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}.