Given numbers are 960,841,268,462,107

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

The LCM of 960,841,268,462,107 is 445673215680.

Find LCM of 960,841,268,462,107 with Prime Factorization

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

2 x 2 x 3 x 80 x 841 x 67 x 77 x 107 = 445673215680

Therefore, the lowest common multiple of 960,841,268,462,107 is 445673215680.

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.

960 x 841 x 268 x 462 x 107 = 10696157176320

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

841 : 1, 29, 841

268 : 1, 2, 4, 67, 134, 268

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,841,268,462,107, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

841:29x 29

268:2x 2x 67

462:2x 3x 7x 11

107:107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10696157176320/(1x24)

LCM = 10696157176320/24

LCM = 445673215680

Thus, we can understand that the LCM of 960,841,268,462,107 is 445673215680.

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

• LCM of 153, 410, 592, 798, 693
• LCM of 411, 359, 943, 338, 642
• LCM of 715, 850, 606, 610, 905
• LCM of 464, 462, 672, 636, 435
• LCM of 452, 808, 651, 834, 803

1. What is the LCM of 960, 841, 268, 462, 107?

Answer: LCM of 960, 841, 268, 462, 107 is 445673215680.

2. How to calculate the LCM of 960, 841, 268, 462, 107?

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 960, 841, 268, 462, 107.

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}.