Given numbers are 433,378,438,535,912

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

The LCM of 433,378,438,535,912 is 971627786640.

Find LCM of 433,378,438,535,912 with Prime Factorization

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

2 x 3 x 433 x 63 x 73 x 535 x 152 = 971627786640

Therefore, the lowest common multiple of 433,378,438,535,912 is 971627786640.

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 378 x 438 x 535 x 912 = 34978600319040

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

438 : 1, 2, 3, 6, 73, 146, 219, 438

535 : 1, 5, 107, 535

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,378,438,535,912, is 1.

Now, the common factors can be found like this.

433:433

378:2x 3x 3x 3x 7

438:2x 3x 73

535:5x 107

912:2x 2x 2x 2x 3x 19

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 = 34978600319040/(1x36)

LCM = 34978600319040/36

LCM = 971627786640

Thus, we can understand that the LCM of 433,378,438,535,912 is 971627786640.

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

• LCM of 829, 968, 608, 884, 878
• LCM of 346, 448, 863, 811, 174
• LCM of 890, 858, 446, 558, 156
• LCM of 946, 826, 939, 456, 403
• LCM of 600, 183, 511, 985, 108

1. What is the LCM of 433, 378, 438, 535, 912?

Answer: LCM of 433, 378, 438, 535, 912 is 971627786640.

2. How to calculate the LCM of 433, 378, 438, 535, 912?

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, 378, 438, 535, 912.

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}.