Given numbers are 289,302,141,370

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

The LCM of 289,302,141,370 is 2276646630.

Find LCM of 289,302,141,370 with Prime Factorization

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

2 x 289 x 151 x 141 x 185 = 2276646630

Therefore, the lowest common multiple of 289,302,141,370 is 2276646630.

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.

289 x 302 x 141 x 370 = 4553293260

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.

289 : 1, 17, 289

302 : 1, 2, 151, 302

141 : 1, 3, 47, 141

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,302,141,370, is 1.

Now, the common factors can be found like this.

289:17x 17

302:2x 151

141:3x 47

370:2x 5x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4553293260/(1x2)

LCM = 4553293260/2

LCM = 2276646630

Thus, we can understand that the LCM of 289,302,141,370 is 2276646630.

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

• LCM of 876, 997, 356, 282
• LCM of 415, 144, 682, 656
• LCM of 660, 626, 659, 981
• LCM of 812, 483, 411, 782
• LCM of 297, 144, 430, 109

1. What is the LCM of 289, 302, 141, 370?

Answer: LCM of 289, 302, 141, 370 is 2276646630.

2. How to calculate the LCM of 289, 302, 141, 370?

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 289, 302, 141, 370.

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}.