Given numbers are 428,506,167,346,558

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

The LCM of 428,506,167,346,558 is 872832819276.

Find LCM of 428,506,167,346,558 with Prime Factorization

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

2 x 214 x 253 x 167 x 173 x 279 = 872832819276

Therefore, the lowest common multiple of 428,506,167,346,558 is 872832819276.

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.

428 x 506 x 167 x 346 x 558 = 6982662554208

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.

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

167 : 1, 167

346 : 1, 2, 173, 346

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,506,167,346,558, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

506:2x 11x 23

167:167

346:2x 173

558:2x 3x 3x 31

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 = 6982662554208/(1x8)

LCM = 6982662554208/8

LCM = 872832819276

Thus, we can understand that the LCM of 428,506,167,346,558 is 872832819276.

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

• LCM of 208, 871, 145, 796, 725
• LCM of 352, 176, 818, 679, 788
• LCM of 456, 234, 603, 392, 455
• LCM of 696, 778, 635, 815, 613
• LCM of 528, 165, 704, 102, 289

1. What is the LCM of 428, 506, 167, 346, 558?

Answer: LCM of 428, 506, 167, 346, 558 is 872832819276.

2. How to calculate the LCM of 428, 506, 167, 346, 558?

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 428, 506, 167, 346, 558.

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}.