Given numbers are 353,107,104,420

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

The LCM of 353,107,104,420 is 412459320.

Find LCM of 353,107,104,420 with Prime Factorization

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

2 x 2 x 353 x 107 x 26 x 105 = 412459320

Therefore, the lowest common multiple of 353,107,104,420 is 412459320.

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.

353 x 107 x 104 x 420 = 1649837280

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.

353 : 1, 353

107 : 1, 107

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,107,104,420, is 1.

Now, the common factors can be found like this.

353:353

107:107

104:2x 2x 2x 13

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 2 = 4

Therefore, the value for common factors is 4.

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 = 1649837280/(1x4)

LCM = 1649837280/4

LCM = 412459320

Thus, we can understand that the LCM of 353,107,104,420 is 412459320.

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

• LCM of 514, 866, 480, 942
• LCM of 139, 454, 412, 524
• LCM of 551, 229, 830, 230
• LCM of 723, 610, 614, 860
• LCM of 489, 496, 594, 668

1. What is the LCM of 353, 107, 104, 420?

Answer: LCM of 353, 107, 104, 420 is 412459320.

2. How to calculate the LCM of 353, 107, 104, 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 353, 107, 104, 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}.