Given numbers are 580,578,680,995,980

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

The LCM of 580,578,680,995,980 is 3268925240.

Find LCM of 580,578,680,995,980 with Prime Factorization

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

2 x 2 x 5 x 17 x 29 x 17 x 2 x 199 x 49 = 3268925240

Therefore, the lowest common multiple of 580,578,680,995,980 is 3268925240.

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.

580 x 578 x 680 x 995 x 980 = 222286916320000

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

578 : 1, 2, 17, 34, 289, 578

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

995 : 1, 5, 199, 995

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 580,578,680,995,980, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

578:2x 17x 17

680:2x 2x 2x 5x 17

995:5x 199

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 2x 5x 5x 5x 17 = 68000

Therefore, the value for common factors is 68000.

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 = 222286916320000/(1x68000)

LCM = 222286916320000/68000

LCM = 3268925240

Thus, we can understand that the LCM of 580,578,680,995,980 is 3268925240.

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

• LCM of 629, 706, 911, 840, 771
• LCM of 623, 281, 636, 120, 670
• LCM of 759, 869, 980, 142, 852
• LCM of 989, 571, 934, 101, 784
• LCM of 641, 957, 725, 848, 993

1. What is the LCM of 580, 578, 680, 995, 980?

Answer: LCM of 580, 578, 680, 995, 980 is 3268925240.

2. How to calculate the LCM of 580, 578, 680, 995, 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 580, 578, 680, 995, 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}.