Given numbers are 514,505,588,691,688

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

The LCM of 514,505,588,691,688 is 9070021610160.

Find LCM of 514,505,588,691,688 with Prime Factorization

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

2 x 2 x 257 x 505 x 147 x 691 x 172 = 9070021610160

Therefore, the lowest common multiple of 514,505,588,691,688 is 9070021610160.

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.

514 x 505 x 588 x 691 x 688 = 72560172881280

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.

514 : 1, 2, 257, 514

505 : 1, 5, 101, 505

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

691 : 1, 691

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,505,588,691,688, is 1.

Now, the common factors can be found like this.

514:2x 257

505:5x 101

588:2x 2x 3x 7x 7

691:691

688:2x 2x 2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 72560172881280/(1x8)

LCM = 72560172881280/8

LCM = 9070021610160

Thus, we can understand that the LCM of 514,505,588,691,688 is 9070021610160.

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

• LCM of 511, 575, 375, 333, 285
• LCM of 508, 197, 920, 804, 574
• LCM of 285, 595, 741, 782, 397
• LCM of 319, 453, 233, 554, 507
• LCM of 335, 965, 539, 663, 710

1. What is the LCM of 514, 505, 588, 691, 688?

Answer: LCM of 514, 505, 588, 691, 688 is 9070021610160.

2. How to calculate the LCM of 514, 505, 588, 691, 688?

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 514, 505, 588, 691, 688.

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}.