Given numbers are 528,719,420,728

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

The LCM of 528,719,420,728 is 172732560.

Find LCM of 528,719,420,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 22 x 719 x 5 x 13 = 172732560

Therefore, the lowest common multiple of 528,719,420,728 is 172732560.

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.

528 x 719 x 420 x 728 = 116076280320

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.

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

719 : 1, 719

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 528,719,420,728, is 1.

Now, the common factors can be found like this.

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

719:719

420:2x 2x 3x 5x 7

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 116076280320/(1x672)

LCM = 116076280320/672

LCM = 172732560

Thus, we can understand that the LCM of 528,719,420,728 is 172732560.

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

• LCM of 304, 217, 347, 531
• LCM of 211, 842, 688, 802
• LCM of 226, 851, 174, 152
• LCM of 823, 101, 303, 682
• LCM of 177, 307, 172, 373

1. What is the LCM of 528, 719, 420, 728?

Answer: LCM of 528, 719, 420, 728 is 172732560.

2. How to calculate the LCM of 528, 719, 420, 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 528, 719, 420, 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}.