Given numbers are 278,462,212,163,728

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

The LCM of 278,462,212,163,728 is 28848523704.

Find LCM of 278,462,212,163,728 with Prime Factorization

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

2 x 2 x 7 x 139 x 33 x 53 x 163 x 26 = 28848523704

Therefore, the lowest common multiple of 278,462,212,163,728 is 28848523704.

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.

278 x 462 x 212 x 163 x 728 = 3231034654848

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.

278 : 1, 2, 139, 278

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

212 : 1, 2, 4, 53, 106, 212

163 : 1, 163

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,462,212,163,728, is 1.

Now, the common factors can be found like this.

278:2x 139

462:2x 3x 7x 11

212:2x 2x 53

163:163

728:2x 2x 2x 7x 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 7 = 112

Therefore, the value for common factors is 112.

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 = 3231034654848/(1x112)

LCM = 3231034654848/112

LCM = 28848523704

Thus, we can understand that the LCM of 278,462,212,163,728 is 28848523704.

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

• LCM of 114, 982, 977, 764, 558
• LCM of 195, 445, 793, 817, 757
• LCM of 570, 568, 174, 845, 786
• LCM of 608, 643, 839, 856, 984
• LCM of 390, 514, 782, 700, 500

1. What is the LCM of 278, 462, 212, 163, 728?

Answer: LCM of 278, 462, 212, 163, 728 is 28848523704.

2. How to calculate the LCM of 278, 462, 212, 163, 728?

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 278, 462, 212, 163, 728.

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}.