Given numbers are 229,420,840,782,978

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

The LCM of 229,420,840,782,978 is 12259679880.

Find LCM of 229,420,840,782,978 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 229 x 1 x 2 x 391 x 163 = 12259679880

Therefore, the lowest common multiple of 229,420,840,782,978 is 12259679880.

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.

229 x 420 x 840 x 782 x 978 = 61788786595200

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.

229 : 1, 229

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

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,420,840,782,978, is 1.

Now, the common factors can be found like this.

229:229

420:2x 2x 3x 5x 7

840:2x 2x 2x 3x 5x 7

782:2x 17x 23

978:2x 3x 163

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 3x 3x 5x 7 = 5040

Therefore, the value for common factors is 5040.

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 = 61788786595200/(1x5040)

LCM = 61788786595200/5040

LCM = 12259679880

Thus, we can understand that the LCM of 229,420,840,782,978 is 12259679880.

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

• LCM of 773, 239, 909, 419, 723
• LCM of 583, 221, 661, 939, 781
• LCM of 113, 119, 503, 717, 395
• LCM of 720, 936, 358, 254, 452
• LCM of 325, 786, 981, 412, 598

1. What is the LCM of 229, 420, 840, 782, 978?

Answer: LCM of 229, 420, 840, 782, 978 is 12259679880.

2. How to calculate the LCM of 229, 420, 840, 782, 978?

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 229, 420, 840, 782, 978.

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}.