Given numbers are 353,467,627,304,420

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

The LCM of 353,467,627,304,420 is 57882483120.

Find LCM of 353,467,627,304,420 with Prime Factorization

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

2 x 2 x 3 x 19 x 353 x 467 x 11 x 4 x 35 = 57882483120

Therefore, the lowest common multiple of 353,467,627,304,420 is 57882483120.

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 467 x 627 x 304 x 420 = 13197206151360

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

467 : 1, 467

627 : 1, 3, 11, 19, 33, 57, 209, 627

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 353,467,627,304,420, is 1.

Now, the common factors can be found like this.

353:353

467:467

627:3x 11x 19

304:2x 2x 2x 2x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 13197206151360/(1x228)

LCM = 13197206151360/228

LCM = 57882483120

Thus, we can understand that the LCM of 353,467,627,304,420 is 57882483120.

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

• LCM of 282, 292, 171, 193, 663
• LCM of 931, 372, 216, 230, 639
• LCM of 570, 828, 618, 394, 801
• LCM of 769, 553, 500, 254, 772
• LCM of 887, 877, 305, 262, 329

1. What is the LCM of 353, 467, 627, 304, 420?

Answer: LCM of 353, 467, 627, 304, 420 is 57882483120.

2. How to calculate the LCM of 353, 467, 627, 304, 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, 467, 627, 304, 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}.