Given numbers are 978,449,250,720,565

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

The LCM of 978,449,250,720,565 is 148862358000.

Find LCM of 978,449,250,720,565 with Prime Factorization

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

2 x 3 x 5 x 163 x 449 x 25 x 24 x 113 = 148862358000

Therefore, the lowest common multiple of 978,449,250,720,565 is 148862358000.

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 449 x 250 x 720 x 565 = 44658707400000

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

449 : 1, 449

250 : 1, 2, 5, 10, 25, 50, 125, 250

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,449,250,720,565, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

449:449

250:2x 5x 5x 5

720:2x 2x 2x 2x 3x 3x 5

565:5x 113

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 44658707400000/(1x300)

LCM = 44658707400000/300

LCM = 148862358000

Thus, we can understand that the LCM of 978,449,250,720,565 is 148862358000.

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

• LCM of 114, 513, 106, 579, 492
• LCM of 920, 364, 572, 379, 604
• LCM of 722, 904, 604, 553, 122
• LCM of 707, 138, 858, 633, 869
• LCM of 570, 144, 816, 474, 356

1. What is the LCM of 978, 449, 250, 720, 565?

Answer: LCM of 978, 449, 250, 720, 565 is 148862358000.

2. How to calculate the LCM of 978, 449, 250, 720, 565?

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, 449, 250, 720, 565.

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}.