Given numbers are 239,228,456,428,169

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

The LCM of 239,228,456,428,169 is 1970757672.

Find LCM of 239,228,456,428,169 with Prime Factorization

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

2 x 2 x 3 x 19 x 239 x 1 x 2 x 107 x 169 = 1970757672

Therefore, the lowest common multiple of 239,228,456,428,169 is 1970757672.

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.

239 x 228 x 456 x 428 x 169 = 1797330996864

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.

239 : 1, 239

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

428 : 1, 2, 4, 107, 214, 428

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,228,456,428,169, is 1.

Now, the common factors can be found like this.

239:239

228:2x 2x 3x 19

456:2x 2x 2x 3x 19

428:2x 2x 107

169:13x 13

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 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 1797330996864/(1x912)

LCM = 1797330996864/912

LCM = 1970757672

Thus, we can understand that the LCM of 239,228,456,428,169 is 1970757672.

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

• LCM of 900, 985, 335, 743, 435
• LCM of 700, 826, 464, 890, 416
• LCM of 469, 993, 300, 594, 528
• LCM of 316, 505, 394, 137, 632
• LCM of 236, 185, 549, 951, 621

1. What is the LCM of 239, 228, 456, 428, 169?

Answer: LCM of 239, 228, 456, 428, 169 is 1970757672.

2. How to calculate the LCM of 239, 228, 456, 428, 169?

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 239, 228, 456, 428, 169.

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}.