Given numbers are 290,370,112,457,722

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

The LCM of 290,370,112,457,722 is 99131379760.

Find LCM of 290,370,112,457,722 with Prime Factorization

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

2 x 5 x 29 x 37 x 56 x 457 x 361 = 99131379760

Therefore, the lowest common multiple of 290,370,112,457,722 is 99131379760.

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.

290 x 370 x 112 x 457 x 722 = 3965255190400

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

370 : 1, 2, 5, 10, 37, 74, 185, 370

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

457 : 1, 457

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,370,112,457,722, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

370:2x 5x 37

112:2x 2x 2x 2x 7

457:457

722:2x 19x 19

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 5 = 40

Therefore, the value for common factors is 40.

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 = 3965255190400/(1x40)

LCM = 3965255190400/40

LCM = 99131379760

Thus, we can understand that the LCM of 290,370,112,457,722 is 99131379760.

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

• LCM of 963, 916, 425, 724, 782
• LCM of 172, 779, 358, 359, 529
• LCM of 829, 877, 320, 657, 159
• LCM of 231, 521, 608, 770, 254
• LCM of 445, 652, 741, 159, 817

1. What is the LCM of 290, 370, 112, 457, 722?

Answer: LCM of 290, 370, 112, 457, 722 is 99131379760.

2. How to calculate the LCM of 290, 370, 112, 457, 722?

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 290, 370, 112, 457, 722.

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}.