Given numbers are 335,131,180,424,420

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

The LCM of 335,131,180,424,420 is 1172256120.

Find LCM of 335,131,180,424,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 67 x 131 x 3 x 106 x 7 = 1172256120

Therefore, the lowest common multiple of 335,131,180,424,420 is 1172256120.

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.

335 x 131 x 180 x 424 x 420 = 1406707344000

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.

335 : 1, 5, 67, 335

131 : 1, 131

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

424 : 1, 2, 4, 8, 53, 106, 212, 424

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 335,131,180,424,420, is 1.

Now, the common factors can be found like this.

335:5x 67

131:131

180:2x 2x 3x 3x 5

424:2x 2x 2x 53

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 5x 5 = 1200

Therefore, the value for common factors is 1200.

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 = 1406707344000/(1x1200)

LCM = 1406707344000/1200

LCM = 1172256120

Thus, we can understand that the LCM of 335,131,180,424,420 is 1172256120.

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

• LCM of 229, 685, 190, 450, 237
• LCM of 195, 382, 867, 989, 996
• LCM of 262, 442, 972, 758, 173
• LCM of 912, 325, 605, 372, 780
• LCM of 608, 978, 910, 192, 933

1. What is the LCM of 335, 131, 180, 424, 420?

Answer: LCM of 335, 131, 180, 424, 420 is 1172256120.

2. How to calculate the LCM of 335, 131, 180, 424, 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 335, 131, 180, 424, 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}.