Given numbers are 239,420,183,960,980

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

The LCM of 239,420,183,960,980 is 685796160.

Find LCM of 239,420,183,960,980 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 239 x 1 x 61 x 16 x 7 = 685796160

Therefore, the lowest common multiple of 239,420,183,960,980 is 685796160.

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.

239 x 420 x 183 x 960 x 980 = 17282063232000

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.

239 : 1, 239

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

183 : 1, 3, 61, 183

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,420,183,960,980, is 1.

Now, the common factors can be found like this.

239:239

420:2x 2x 3x 5x 7

183:3x 61

960:2x 2x 2x 2x 2x 2x 3x 5

980:2x 2x 5x 7x 7

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 5x 7 = 25200

Therefore, the value for common factors is 25200.

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 = 17282063232000/(1x25200)

LCM = 17282063232000/25200

LCM = 685796160

Thus, we can understand that the LCM of 239,420,183,960,980 is 685796160.

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

• LCM of 220, 736, 695, 732, 451
• LCM of 266, 667, 841, 980, 774
• LCM of 336, 120, 128, 492, 543
• LCM of 541, 142, 984, 630, 426
• LCM of 551, 961, 556, 966, 144

1. What is the LCM of 239, 420, 183, 960, 980?

Answer: LCM of 239, 420, 183, 960, 980 is 685796160.

2. How to calculate the LCM of 239, 420, 183, 960, 980?

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 239, 420, 183, 960, 980.

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}.