Given numbers are 960,480,725,242,107

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

The LCM of 960,480,725,242,107 is 1802222400.

Find LCM of 960,480,725,242,107 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 1 x 2 x 145 x 121 x 107 = 1802222400

Therefore, the lowest common multiple of 960,480,725,242,107 is 1802222400.

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 480 x 725 x 242 x 107 = 8650667520000

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

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

725 : 1, 5, 25, 29, 145, 725

242 : 1, 2, 11, 22, 121, 242

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,480,725,242,107, is 1.

Now, the common factors can be found like this.

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

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

725:5x 5x 29

242:2x 11x 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 2x 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 8650667520000/(1x4800)

LCM = 8650667520000/4800

LCM = 1802222400

Thus, we can understand that the LCM of 960,480,725,242,107 is 1802222400.

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

• LCM of 705, 667, 929, 229, 663
• LCM of 849, 799, 334, 559, 156
• LCM of 188, 559, 626, 935, 614
• LCM of 735, 241, 994, 174, 783
• LCM of 953, 705, 659, 258, 553

1. What is the LCM of 960, 480, 725, 242, 107?

Answer: LCM of 960, 480, 725, 242, 107 is 1802222400.

2. How to calculate the LCM of 960, 480, 725, 242, 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, 480, 725, 242, 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}.