Given numbers are 754,28,469

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

The LCM of 754,28,469 is 707252.

Find LCM of 754,28,469 with Prime Factorization

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

2 x 7 x 377 x 2 x 67 = 707252

Therefore, the lowest common multiple of 754,28,469 is 707252.

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.

754 x 28 x 469 = 9901528

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

28 : 1, 2, 4, 7, 14, 28

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,28,469, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

28:2x 2x 7

469:7x 67

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 9901528/(1x14)

LCM = 9901528/14

LCM = 707252

Thus, we can understand that the LCM of 754,28,469 is 707252.

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

• LCM of 425, 27, 810
• LCM of 554, 25, 371
• LCM of 553, 76, 657
• LCM of 360, 32, 698
• LCM of 991, 46, 689

1. What is the LCM of 754, 28, 469?

Answer: LCM of 754, 28, 469 is 707252.

2. How to calculate the LCM of 754, 28, 469?

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 754, 28, 469.

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}.