Given numbers are 620,696,312,588

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

The LCM of 620,696,312,588 is 68719560.

Find LCM of 620,696,312,588 with Prime Factorization

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

2 x 2 x 2 x 3 x 155 x 29 x 13 x 49 = 68719560

Therefore, the lowest common multiple of 620,696,312,588 is 68719560.

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.

620 x 696 x 312 x 588 = 79164933120

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,696,312,588, is 4.

Now, the common factors can be found like this.

620:2x 2x 5x 31

696:2x 2x 2x 3x 29

312:2x 2x 2x 3x 13

588:2x 2x 3x 7x 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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 79164933120/(4x288)

LCM = 79164933120/1152

LCM = 68719560

Thus, we can understand that the LCM of 620,696,312,588 is 68719560.

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

• LCM of 318, 923, 971, 988
• LCM of 876, 896, 432, 765
• LCM of 946, 559, 598, 311
• LCM of 934, 168, 844, 240
• LCM of 109, 433, 632, 310

1. What is the LCM of 620, 696, 312, 588?

Answer: LCM of 620, 696, 312, 588 is 68719560.

2. How to calculate the LCM of 620, 696, 312, 588?

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 620, 696, 312, 588.

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}.