Given numbers are 474,400,432,691,975

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

The LCM of 474,400,432,691,975 is 7664295600.

Find LCM of 474,400,432,691,975 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 5 x 79 x 1 x 9 x 691 x 13 = 7664295600

Therefore, the lowest common multiple of 474,400,432,691,975 is 7664295600.

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 400 x 432 x 691 x 975 = 55182928320000

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

691 : 1, 691

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,400,432,691,975, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

400:2x 2x 2x 2x 5x 5

432:2x 2x 2x 2x 3x 3x 3

691:691

975:3x 5x 5x 13

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 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 55182928320000/(1x7200)

LCM = 55182928320000/7200

LCM = 7664295600

Thus, we can understand that the LCM of 474,400,432,691,975 is 7664295600.

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

• LCM of 931, 714, 123, 863, 900
• LCM of 605, 561, 664, 755, 302
• LCM of 716, 964, 262, 356, 696
• LCM of 952, 619, 258, 756, 710
• LCM of 147, 612, 843, 744, 300

1. What is the LCM of 474, 400, 432, 691, 975?

Answer: LCM of 474, 400, 432, 691, 975 is 7664295600.

2. How to calculate the LCM of 474, 400, 432, 691, 975?

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, 400, 432, 691, 975.

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}.