Given numbers are 696,630,974,430,205

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

The LCM of 696,630,974,430,205 is 62745099480.

Find LCM of 696,630,974,430,205 with Prime Factorization

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

2 x 3 x 5 x 116 x 21 x 487 x 43 x 41 = 62745099480

Therefore, the lowest common multiple of 696,630,974,430,205 is 62745099480.

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.

696 x 630 x 974 x 430 x 205 = 37647059688000

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

974 : 1, 2, 487, 974

430 : 1, 2, 5, 10, 43, 86, 215, 430

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,630,974,430,205, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

630:2x 3x 3x 5x 7

974:2x 487

430:2x 5x 43

205:5x 41

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 37647059688000/(1x600)

LCM = 37647059688000/600

LCM = 62745099480

Thus, we can understand that the LCM of 696,630,974,430,205 is 62745099480.

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

• LCM of 715, 662, 821, 188, 252
• LCM of 542, 644, 279, 314, 409
• LCM of 184, 405, 325, 634, 984
• LCM of 563, 927, 947, 930, 906
• LCM of 104, 991, 882, 638, 693

1. What is the LCM of 696, 630, 974, 430, 205?

Answer: LCM of 696, 630, 974, 430, 205 is 62745099480.

2. How to calculate the LCM of 696, 630, 974, 430, 205?

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 696, 630, 974, 430, 205.

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}.