Given numbers are 513,632,680,437,402

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

The LCM of 513,632,680,437,402 is 42467432760.

Find LCM of 513,632,680,437,402 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 9 x 79 x 85 x 23 x 67 = 42467432760

Therefore, the lowest common multiple of 513,632,680,437,402 is 42467432760.

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.

513 x 632 x 680 x 437 x 402 = 38730298677120

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

632 : 1, 2, 4, 8, 79, 158, 316, 632

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

437 : 1, 19, 23, 437

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,632,680,437,402, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

632:2x 2x 2x 79

680:2x 2x 2x 5x 17

437:19x 23

402:2x 3x 67

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 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 38730298677120/(1x912)

LCM = 38730298677120/912

LCM = 42467432760

Thus, we can understand that the LCM of 513,632,680,437,402 is 42467432760.

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

• LCM of 431, 935, 742, 870, 522
• LCM of 942, 927, 964, 824, 169
• LCM of 996, 210, 550, 681, 822
• LCM of 172, 164, 409, 317, 144
• LCM of 834, 920, 462, 527, 265

1. What is the LCM of 513, 632, 680, 437, 402?

Answer: LCM of 513, 632, 680, 437, 402 is 42467432760.

2. How to calculate the LCM of 513, 632, 680, 437, 402?

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 513, 632, 680, 437, 402.

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}.