Given numbers are 402,741,618,450,574

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

The LCM of 402,741,618,450,574 is 220142245050.

Find LCM of 402,741,618,450,574 with Prime Factorization

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

2 x 3 x 67 x 247 x 103 x 75 x 287 = 220142245050

Therefore, the lowest common multiple of 402,741,618,450,574 is 220142245050.

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.

402 x 741 x 618 x 450 x 574 = 47550724930800

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

741 : 1, 3, 13, 19, 39, 57, 247, 741

618 : 1, 2, 3, 6, 103, 206, 309, 618

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,741,618,450,574, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

741:3x 13x 19

618:2x 3x 103

450:2x 3x 3x 5x 5

574:2x 7x 41

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 47550724930800/(1x216)

LCM = 47550724930800/216

LCM = 220142245050

Thus, we can understand that the LCM of 402,741,618,450,574 is 220142245050.

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

• LCM of 405, 730, 946, 499, 947
• LCM of 353, 786, 512, 166, 599
• LCM of 831, 866, 897, 998, 660
• LCM of 679, 672, 617, 630, 458
• LCM of 955, 772, 936, 549, 901

1. What is the LCM of 402, 741, 618, 450, 574?

Answer: LCM of 402, 741, 618, 450, 574 is 220142245050.

2. How to calculate the LCM of 402, 741, 618, 450, 574?

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 402, 741, 618, 450, 574.

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}.