Given numbers are 402,497,814,896

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

The LCM of 402,497,814,896 is 5204234112.

Find LCM of 402,497,814,896 with Prime Factorization

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

2 x 7 x 201 x 71 x 407 x 64 = 5204234112

Therefore, the lowest common multiple of 402,497,814,896 is 5204234112.

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.

402 x 497 x 814 x 896 = 145718555136

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

497 : 1, 7, 71, 497

814 : 1, 2, 11, 22, 37, 74, 407, 814

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,497,814,896, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

497:7x 71

814:2x 11x 37

896:2x 2x 2x 2x 2x 2x 2x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 145718555136/(1x28)

LCM = 145718555136/28

LCM = 5204234112

Thus, we can understand that the LCM of 402,497,814,896 is 5204234112.

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

• LCM of 584, 597, 516, 924
• LCM of 311, 816, 968, 226
• LCM of 798, 930, 263, 819
• LCM of 198, 516, 150, 497
• LCM of 665, 984, 785, 871

1. What is the LCM of 402, 497, 814, 896?

Answer: LCM of 402, 497, 814, 896 is 5204234112.

2. How to calculate the LCM of 402, 497, 814, 896?

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 402, 497, 814, 896.

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}.