Given numbers are 722,160,275,219

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

The LCM of 722,160,275,219 is 695719200.

Find LCM of 722,160,275,219 with Prime Factorization

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

2 x 5 x 361 x 16 x 55 x 219 = 695719200

Therefore, the lowest common multiple of 722,160,275,219 is 695719200.

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.

722 x 160 x 275 x 219 = 6957192000

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.

722 : 1, 2, 19, 38, 361, 722

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

275 : 1, 5, 11, 25, 55, 275

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,160,275,219, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

160:2x 2x 2x 2x 2x 5

275:5x 5x 11

219:3x 73

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6957192000/(1x10)

LCM = 6957192000/10

LCM = 695719200

Thus, we can understand that the LCM of 722,160,275,219 is 695719200.

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

• LCM of 850, 227, 998, 507
• LCM of 424, 800, 975, 846
• LCM of 878, 593, 917, 832
• LCM of 648, 101, 667, 907
• LCM of 313, 493, 538, 243

1. What is the LCM of 722, 160, 275, 219?

Answer: LCM of 722, 160, 275, 219 is 695719200.

2. How to calculate the LCM of 722, 160, 275, 219?

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 722, 160, 275, 219.

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}.