Given numbers are 961,742,480,646,677

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

The LCM of 961,742,480,646,677 is 37422235344480.

Find LCM of 961,742,480,646,677 with Prime Factorization

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

2 x 961 x 371 x 240 x 323 x 677 = 37422235344480

Therefore, the lowest common multiple of 961,742,480,646,677 is 37422235344480.

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.

961 x 742 x 480 x 646 x 677 = 149688941377920

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.

961 : 1, 31, 961

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

646 : 1, 2, 17, 19, 34, 38, 323, 646

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,742,480,646,677, is 1.

Now, the common factors can be found like this.

961:31x 31

742:2x 7x 53

480:2x 2x 2x 2x 2x 3x 5

646:2x 17x 19

677:677

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 = 149688941377920/(1x4)

LCM = 149688941377920/4

LCM = 37422235344480

Thus, we can understand that the LCM of 961,742,480,646,677 is 37422235344480.

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

• LCM of 482, 416, 910, 899, 316
• LCM of 754, 401, 289, 457, 881
• LCM of 766, 605, 107, 179, 482
• LCM of 285, 148, 992, 933, 831
• LCM of 450, 221, 344, 287, 259

1. What is the LCM of 961, 742, 480, 646, 677?

Answer: LCM of 961, 742, 480, 646, 677 is 37422235344480.

2. How to calculate the LCM of 961, 742, 480, 646, 677?

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 961, 742, 480, 646, 677.

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}.