Given numbers are 474,735,528,738,719

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

The LCM of 474,735,528,738,719 is 903776615280.

Find LCM of 474,735,528,738,719 with Prime Factorization

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

2 x 3 x 79 x 245 x 88 x 123 x 719 = 903776615280

Therefore, the lowest common multiple of 474,735,528,738,719 is 903776615280.

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.

474 x 735 x 528 x 738 x 719 = 97607874450240

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,735,528,738,719, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

735:3x 5x 7x 7

528:2x 2x 2x 2x 3x 11

738:2x 3x 3x 41

719:719

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 97607874450240/(1x108)

LCM = 97607874450240/108

LCM = 903776615280

Thus, we can understand that the LCM of 474,735,528,738,719 is 903776615280.

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

• LCM of 289, 853, 749, 411, 421
• LCM of 975, 403, 269, 169, 953
• LCM of 360, 764, 451, 773, 621
• LCM of 625, 998, 824, 362, 242
• LCM of 592, 224, 689, 882, 486

1. What is the LCM of 474, 735, 528, 738, 719?

Answer: LCM of 474, 735, 528, 738, 719 is 903776615280.

2. How to calculate the LCM of 474, 735, 528, 738, 719?

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 474, 735, 528, 738, 719.

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}.