Given numbers are 358,458,918,168,420

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

The LCM of 358,458,918,168,420 is 5268163320.

Find LCM of 358,458,918,168,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 179 x 229 x 153 x 2 x 5 = 5268163320

Therefore, the lowest common multiple of 358,458,918,168,420 is 5268163320.

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.

358 x 458 x 918 x 168 x 420 = 10620617253120

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.

358 : 1, 2, 179, 358

458 : 1, 2, 229, 458

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,458,918,168,420, is 2.

Now, the common factors can be found like this.

358:2x 179

458:2x 229

918:2x 3x 3x 3x 17

168:2x 2x 2x 3x 7

420:2x 2x 3x 5x 7

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 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 10620617253120/(2x1008)

LCM = 10620617253120/2016

LCM = 5268163320

Thus, we can understand that the LCM of 358,458,918,168,420 is 5268163320.

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

• LCM of 940, 151, 549, 222, 873
• LCM of 127, 993, 455, 296, 276
• LCM of 387, 163, 707, 624, 719
• LCM of 239, 323, 401, 566, 876
• LCM of 583, 633, 431, 604, 139

1. What is the LCM of 358, 458, 918, 168, 420?

Answer: LCM of 358, 458, 918, 168, 420 is 5268163320.

2. How to calculate the LCM of 358, 458, 918, 168, 420?

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 358, 458, 918, 168, 420.

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}.