Given numbers are 351,960,160,762

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

The LCM of 351,960,160,762 is 14264640.

Find LCM of 351,960,160,762 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 117 x 2 x 1 x 127 = 14264640

Therefore, the lowest common multiple of 351,960,160,762 is 14264640.

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.

351 x 960 x 160 x 762 = 41082163200

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,960,160,762, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

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

160:2x 2x 2x 2x 2x 5

762:2x 3x 127

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 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 41082163200/(1x2880)

LCM = 41082163200/2880

LCM = 14264640

Thus, we can understand that the LCM of 351,960,160,762 is 14264640.

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

• LCM of 266, 215, 667, 296
• LCM of 799, 390, 167, 569
• LCM of 867, 910, 188, 246
• LCM of 341, 373, 886, 895
• LCM of 925, 887, 801, 608

1. What is the LCM of 351, 960, 160, 762?

Answer: LCM of 351, 960, 160, 762 is 14264640.

2. How to calculate the LCM of 351, 960, 160, 762?

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 351, 960, 160, 762.

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}.