Given numbers are 778,288,528,438

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

The LCM of 778,288,528,438 is 89961696.

Find LCM of 778,288,528,438 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 389 x 6 x 11 x 73 = 89961696

Therefore, the lowest common multiple of 778,288,528,438 is 89961696.

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.

778 x 288 x 528 x 438 = 51817936896

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.

778 : 1, 2, 389, 778

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,288,528,438, is 2.

Now, the common factors can be found like this.

778:2x 389

288:2x 2x 2x 2x 2x 3x 3

528:2x 2x 2x 2x 3x 11

438:2x 3x 73

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 3 = 288

Therefore, the value for common factors is 288.

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 = 51817936896/(2x288)

LCM = 51817936896/576

LCM = 89961696

Thus, we can understand that the LCM of 778,288,528,438 is 89961696.

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

• LCM of 836, 186, 343, 144
• LCM of 802, 655, 430, 511
• LCM of 858, 612, 867, 100
• LCM of 234, 429, 167, 360
• LCM of 538, 234, 623, 891

1. What is the LCM of 778, 288, 528, 438?

Answer: LCM of 778, 288, 528, 438 is 89961696.

2. How to calculate the LCM of 778, 288, 528, 438?

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 778, 288, 528, 438.

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}.