Given numbers are 360,238,762,978

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

The LCM of 360,238,762,978 is 886830840.

Find LCM of 360,238,762,978 with Prime Factorization

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

2 x 3 x 60 x 119 x 127 x 163 = 886830840

Therefore, the lowest common multiple of 360,238,762,978 is 886830840.

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.

360 x 238 x 762 x 978 = 63851820480

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.

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

238 : 1, 2, 7, 14, 17, 34, 119, 238

762 : 1, 2, 3, 6, 127, 254, 381, 762

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,238,762,978, is 2.

Now, the common factors can be found like this.

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

238:2x 7x 17

762:2x 3x 127

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 63851820480/(2x36)

LCM = 63851820480/72

LCM = 886830840

Thus, we can understand that the LCM of 360,238,762,978 is 886830840.

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

• LCM of 706, 943, 314, 150
• LCM of 181, 425, 769, 611
• LCM of 978, 956, 806, 119
• LCM of 443, 115, 854, 353
• LCM of 796, 577, 930, 481

1. What is the LCM of 360, 238, 762, 978?

Answer: LCM of 360, 238, 762, 978 is 886830840.

2. How to calculate the LCM of 360, 238, 762, 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 360, 238, 762, 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}.