Given numbers are 644,114,289,292

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

The LCM of 644,114,289,292 is 774428676.

Find LCM of 644,114,289,292 with Prime Factorization

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

2 x 2 x 161 x 57 x 289 x 73 = 774428676

Therefore, the lowest common multiple of 644,114,289,292 is 774428676.

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.

644 x 114 x 289 x 292 = 6195429408

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

114 : 1, 2, 3, 6, 19, 38, 57, 114

289 : 1, 17, 289

292 : 1, 2, 4, 73, 146, 292

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,114,289,292, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

114:2x 3x 19

289:17x 17

292:2x 2x 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 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 = 6195429408/(1x8)

LCM = 6195429408/8

LCM = 774428676

Thus, we can understand that the LCM of 644,114,289,292 is 774428676.

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

• LCM of 425, 588, 692, 820
• LCM of 301, 463, 367, 148
• LCM of 614, 713, 700, 902
• LCM of 203, 763, 138, 141
• LCM of 652, 876, 323, 387

1. What is the LCM of 644, 114, 289, 292?

Answer: LCM of 644, 114, 289, 292 is 774428676.

2. How to calculate the LCM of 644, 114, 289, 292?

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 644, 114, 289, 292.

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}.