Given numbers are 402,535,596,350,365

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

The LCM of 402,535,596,350,365 is 163752147300.

Find LCM of 402,535,596,350,365 with Prime Factorization

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

2 x 5 x 201 x 107 x 298 x 35 x 73 = 163752147300

Therefore, the lowest common multiple of 402,535,596,350,365 is 163752147300.

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 535 x 596 x 350 x 365 = 16375214730000

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

535 : 1, 5, 107, 535

596 : 1, 2, 4, 149, 298, 596

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,535,596,350,365, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

535:5x 107

596:2x 2x 149

350:2x 5x 5x 7

365:5x 73

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 16375214730000/(1x100)

LCM = 16375214730000/100

LCM = 163752147300

Thus, we can understand that the LCM of 402,535,596,350,365 is 163752147300.

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

• LCM of 250, 923, 973, 387, 118
• LCM of 767, 227, 732, 405, 774
• LCM of 931, 660, 643, 610, 215
• LCM of 528, 687, 200, 897, 453
• LCM of 395, 533, 430, 793, 191

1. What is the LCM of 402, 535, 596, 350, 365?

Answer: LCM of 402, 535, 596, 350, 365 is 163752147300.

2. How to calculate the LCM of 402, 535, 596, 350, 365?

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, 535, 596, 350, 365.

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}.