Given numbers are 314,596,696,420

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

The LCM of 314,596,696,420 is 569853480.

Find LCM of 314,596,696,420 with Prime Factorization

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

2 x 2 x 3 x 157 x 149 x 58 x 35 = 569853480

Therefore, the lowest common multiple of 314,596,696,420 is 569853480.

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.

314 x 596 x 696 x 420 = 54705934080

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.

314 : 1, 2, 157, 314

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

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,596,696,420, is 2.

Now, the common factors can be found like this.

314:2x 157

596:2x 2x 149

696:2x 2x 2x 3x 29

420:2x 2x 3x 5x 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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 54705934080/(2x48)

LCM = 54705934080/96

LCM = 569853480

Thus, we can understand that the LCM of 314,596,696,420 is 569853480.

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

• LCM of 172, 111, 285, 817
• LCM of 626, 362, 555, 677
• LCM of 488, 123, 896, 254
• LCM of 305, 985, 680, 862
• LCM of 227, 548, 187, 715

1. What is the LCM of 314, 596, 696, 420?

Answer: LCM of 314, 596, 696, 420 is 569853480.

2. How to calculate the LCM of 314, 596, 696, 420?

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 314, 596, 696, 420.

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}.