Given numbers are 360,119,247,116

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

The LCM of 360,119,247,116 is 306862920.

Find LCM of 360,119,247,116 with Prime Factorization

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

2 x 2 x 90 x 119 x 247 x 29 = 306862920

Therefore, the lowest common multiple of 360,119,247,116 is 306862920.

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 119 x 247 x 116 = 1227451680

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

119 : 1, 7, 17, 119

247 : 1, 13, 19, 247

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,119,247,116, is 1.

Now, the common factors can be found like this.

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

119:7x 17

247:13x 19

116:2x 2x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1227451680/(1x4)

LCM = 1227451680/4

LCM = 306862920

Thus, we can understand that the LCM of 360,119,247,116 is 306862920.

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

• LCM of 585, 332, 513, 145
• LCM of 470, 222, 208, 351
• LCM of 370, 157, 772, 246
• LCM of 656, 774, 323, 725
• LCM of 674, 451, 954, 269

1. What is the LCM of 360, 119, 247, 116?

Answer: LCM of 360, 119, 247, 116 is 306862920.

2. How to calculate the LCM of 360, 119, 247, 116?

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, 119, 247, 116.

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}.