Given numbers are 219,341,689,682

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

The LCM of 219,341,689,682 is 102907662.

Find LCM of 219,341,689,682 with Prime Factorization

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

11 x 31 x 219 x 1 x 689 x 2 = 102907662

Therefore, the lowest common multiple of 219,341,689,682 is 102907662.

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.

219 x 341 x 689 x 682 = 35091512742

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.

219 : 1, 3, 73, 219

341 : 1, 11, 31, 341

689 : 1, 13, 53, 689

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,341,689,682, is 1.

Now, the common factors can be found like this.

219:3x 73

341:11x 31

689:13x 53

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 35091512742/(1x341)

LCM = 35091512742/341

LCM = 102907662

Thus, we can understand that the LCM of 219,341,689,682 is 102907662.

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

• LCM of 962, 862, 505, 627
• LCM of 314, 881, 748, 499
• LCM of 684, 123, 775, 937
• LCM of 996, 762, 692, 119
• LCM of 682, 251, 604, 275

1. What is the LCM of 219, 341, 689, 682?

Answer: LCM of 219, 341, 689, 682 is 102907662.

2. How to calculate the LCM of 219, 341, 689, 682?

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 219, 341, 689, 682.

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}.