Given numbers are 565,149,742,654,946

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

The LCM of 565,149,742,654,946 is 9661565776170.

Find LCM of 565,149,742,654,946 with Prime Factorization

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

2 x 565 x 149 x 371 x 327 x 473 = 9661565776170

Therefore, the lowest common multiple of 565,149,742,654,946 is 9661565776170.

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.

565 x 149 x 742 x 654 x 946 = 38646263104680

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.

565 : 1, 5, 113, 565

149 : 1, 149

742 : 1, 2, 7, 14, 53, 106, 371, 742

654 : 1, 2, 3, 6, 109, 218, 327, 654

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,149,742,654,946, is 1.

Now, the common factors can be found like this.

565:5x 113

149:149

742:2x 7x 53

654:2x 3x 109

946:2x 11x 43

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 = 38646263104680/(1x4)

LCM = 38646263104680/4

LCM = 9661565776170

Thus, we can understand that the LCM of 565,149,742,654,946 is 9661565776170.

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

• LCM of 242, 735, 518, 449, 675
• LCM of 143, 134, 305, 107, 797
• LCM of 174, 858, 145, 599, 525
• LCM of 794, 207, 994, 228, 908
• LCM of 948, 824, 760, 447, 893

1. What is the LCM of 565, 149, 742, 654, 946?

Answer: LCM of 565, 149, 742, 654, 946 is 9661565776170.

2. How to calculate the LCM of 565, 149, 742, 654, 946?

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 565, 149, 742, 654, 946.

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}.