Given numbers are 682,689,415,518,296

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

The LCM of 682,689,415,518,296 is 202027946120.

Find LCM of 682,689,415,518,296 with Prime Factorization

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

2 x 37 x 341 x 689 x 415 x 7 x 4 = 202027946120

Therefore, the lowest common multiple of 682,689,415,518,296 is 202027946120.

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.

682 x 689 x 415 x 518 x 296 = 29900136025760

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

689 : 1, 13, 53, 689

415 : 1, 5, 83, 415

518 : 1, 2, 7, 14, 37, 74, 259, 518

296 : 1, 2, 4, 8, 37, 74, 148, 296

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,689,415,518,296, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

689:13x 53

415:5x 83

518:2x 7x 37

296:2x 2x 2x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 29900136025760/(1x148)

LCM = 29900136025760/148

LCM = 202027946120

Thus, we can understand that the LCM of 682,689,415,518,296 is 202027946120.

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

• LCM of 453, 331, 820, 157, 887
• LCM of 431, 396, 509, 986, 310
• LCM of 682, 224, 997, 782, 181
• LCM of 340, 678, 930, 318, 436
• LCM of 771, 914, 234, 157, 776

1. What is the LCM of 682, 689, 415, 518, 296?

Answer: LCM of 682, 689, 415, 518, 296 is 202027946120.

2. How to calculate the LCM of 682, 689, 415, 518, 296?

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 682, 689, 415, 518, 296.

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}.