Given numbers are 978,528,652,578

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

The LCM of 978,528,652,578 is 24872496.

Find LCM of 978,528,652,578 with Prime Factorization

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

2 x 2 x 3 x 163 x 1 x 44 x 1 x 289 = 24872496

Therefore, the lowest common multiple of 978,528,652,578 is 24872496.

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.

978 x 528 x 652 x 578 = 194602408704

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

652 : 1, 2, 4, 163, 326, 652

578 : 1, 2, 17, 34, 289, 578

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,528,652,578, is 2.

Now, the common factors can be found like this.

978:2x 3x 163

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

652:2x 2x 163

578:2x 17x 17

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 163 = 3912

Therefore, the value for common factors is 3912.

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 = 194602408704/(2x3912)

LCM = 194602408704/7824

LCM = 24872496

Thus, we can understand that the LCM of 978,528,652,578 is 24872496.

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

• LCM of 534, 323, 467, 158
• LCM of 696, 495, 344, 928
• LCM of 131, 914, 570, 346
• LCM of 498, 380, 504, 240
• LCM of 553, 671, 333, 652

1. What is the LCM of 978, 528, 652, 578?

Answer: LCM of 978, 528, 652, 578 is 24872496.

2. How to calculate the LCM of 978, 528, 652, 578?

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 978, 528, 652, 578.

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}.