Given numbers are 433,816,795,428,351

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

The LCM of 433,816,795,428,351 is 1172178006480.

Find LCM of 433,816,795,428,351 with Prime Factorization

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

2 x 2 x 3 x 433 x 68 x 265 x 107 x 117 = 1172178006480

Therefore, the lowest common multiple of 433,816,795,428,351 is 1172178006480.

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.

433 x 816 x 795 x 428 x 351 = 42198408233280

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.

433 : 1, 433

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

795 : 1, 3, 5, 15, 53, 159, 265, 795

428 : 1, 2, 4, 107, 214, 428

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,816,795,428,351, is 1.

Now, the common factors can be found like this.

433:433

816:2x 2x 2x 2x 3x 17

795:3x 5x 53

428:2x 2x 107

351:3x 3x 3x 13

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 42198408233280/(1x36)

LCM = 42198408233280/36

LCM = 1172178006480

Thus, we can understand that the LCM of 433,816,795,428,351 is 1172178006480.

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

• LCM of 260, 540, 382, 894, 420
• LCM of 470, 397, 467, 558, 735
• LCM of 213, 616, 488, 248, 674
• LCM of 318, 856, 356, 766, 688
• LCM of 846, 308, 272, 384, 956

1. What is the LCM of 433, 816, 795, 428, 351?

Answer: LCM of 433, 816, 795, 428, 351 is 1172178006480.

2. How to calculate the LCM of 433, 816, 795, 428, 351?

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 433, 816, 795, 428, 351.

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}.