Given numbers are 468,430,674,936,851

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

The LCM of 468,430,674,936,851 is 57713015880.

Find LCM of 468,430,674,936,851 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 215 x 337 x 2 x 851 = 57713015880

Therefore, the lowest common multiple of 468,430,674,936,851 is 57713015880.

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.

468 x 430 x 674 x 936 x 851 = 108038765727360

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

430 : 1, 2, 5, 10, 43, 86, 215, 430

674 : 1, 2, 337, 674

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,430,674,936,851, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

430:2x 5x 43

674:2x 337

936:2x 2x 2x 3x 3x 13

851:23x 37

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 3x 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 108038765727360/(1x1872)

LCM = 108038765727360/1872

LCM = 57713015880

Thus, we can understand that the LCM of 468,430,674,936,851 is 57713015880.

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

• LCM of 239, 208, 488, 488, 852
• LCM of 351, 484, 190, 745, 255
• LCM of 601, 737, 171, 533, 339
• LCM of 407, 124, 630, 285, 667
• LCM of 269, 261, 594, 831, 514

1. What is the LCM of 468, 430, 674, 936, 851?

Answer: LCM of 468, 430, 674, 936, 851 is 57713015880.

2. How to calculate the LCM of 468, 430, 674, 936, 851?

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 468, 430, 674, 936, 851.

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}.