Given numbers are 470,690,177,748,406

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

The LCM of 470,690,177,748,406 is 145266877140.

Find LCM of 470,690,177,748,406 with Prime Factorization

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

2 x 3 x 5 x 47 x 23 x 59 x 374 x 203 = 145266877140

Therefore, the lowest common multiple of 470,690,177,748,406 is 145266877140.

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.

470 x 690 x 177 x 748 x 406 = 17432025256800

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

177 : 1, 3, 59, 177

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,690,177,748,406, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

690:2x 3x 5x 23

177:3x 59

748:2x 2x 11x 17

406:2x 7x 29

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 5 = 120

Therefore, the value for common factors is 120.

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 = 17432025256800/(1x120)

LCM = 17432025256800/120

LCM = 145266877140

Thus, we can understand that the LCM of 470,690,177,748,406 is 145266877140.

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

• LCM of 205, 269, 207, 151, 762
• LCM of 805, 156, 121, 331, 941
• LCM of 175, 177, 767, 939, 931
• LCM of 788, 310, 334, 403, 321
• LCM of 169, 718, 187, 502, 765

1. What is the LCM of 470, 690, 177, 748, 406?

Answer: LCM of 470, 690, 177, 748, 406 is 145266877140.

2. How to calculate the LCM of 470, 690, 177, 748, 406?

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 470, 690, 177, 748, 406.

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}.