Given numbers are 978,211,360,244,976

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

The LCM of 978,211,360,244,976 is 1510540560.

Find LCM of 978,211,360,244,976 with Prime Factorization

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

2 x 2 x 2 x 3 x 61 x 163 x 211 x 15 x 1 x 2 = 1510540560

Therefore, the lowest common multiple of 978,211,360,244,976 is 1510540560.

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 211 x 360 x 244 x 976 = 17691451038720

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

211 : 1, 211

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

244 : 1, 2, 4, 61, 122, 244

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,211,360,244,976, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

211:211

360:2x 2x 2x 3x 3x 5

244:2x 2x 61

976:2x 2x 2x 2x 61

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 2x 3x 61 = 11712

Therefore, the value for common factors is 11712.

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 = 17691451038720/(1x11712)

LCM = 17691451038720/11712

LCM = 1510540560

Thus, we can understand that the LCM of 978,211,360,244,976 is 1510540560.

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

• LCM of 825, 109, 911, 641, 105
• LCM of 851, 429, 540, 816, 597
• LCM of 296, 481, 326, 778, 582
• LCM of 692, 989, 729, 973, 200
• LCM of 554, 135, 464, 592, 762

1. What is the LCM of 978, 211, 360, 244, 976?

Answer: LCM of 978, 211, 360, 244, 976 is 1510540560.

2. How to calculate the LCM of 978, 211, 360, 244, 976?

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, 211, 360, 244, 976.

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}.