Given numbers are 553,80,338

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

The LCM of 553,80,338 is 7476560.

Find LCM of 553,80,338 with Prime Factorization

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

2 x 553 x 40 x 169 = 7476560

Therefore, the lowest common multiple of 553,80,338 is 7476560.

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.

553 x 80 x 338 = 14953120

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.

553 : 1, 7, 79, 553

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,80,338, is 1.

Now, the common factors can be found like this.

553:7x 79

80:2x 2x 2x 2x 5

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 14953120/(1x2)

LCM = 14953120/2

LCM = 7476560

Thus, we can understand that the LCM of 553,80,338 is 7476560.

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

• LCM of 443, 86, 562
• LCM of 387, 64, 541
• LCM of 712, 16, 258
• LCM of 866, 12, 599
• LCM of 750, 53, 562

1. What is the LCM of 553, 80, 338?

Answer: LCM of 553, 80, 338 is 7476560.

2. How to calculate the LCM of 553, 80, 338?

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 553, 80, 338.

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}.