Given numbers are 480,986,720,860

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

The LCM of 480,986,720,860 is 30526560.

Find LCM of 480,986,720,860 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 2 x 493 x 3 x 43 = 30526560

Therefore, the lowest common multiple of 480,986,720,860 is 30526560.

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.

480 x 986 x 720 x 860 = 293054976000

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.

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,986,720,860, is 2.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

986:2x 17x 29

720:2x 2x 2x 2x 3x 3x 5

860:2x 2x 5x 43

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 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 293054976000/(2x4800)

LCM = 293054976000/9600

LCM = 30526560

Thus, we can understand that the LCM of 480,986,720,860 is 30526560.

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

• LCM of 969, 523, 190, 386
• LCM of 623, 686, 746, 280
• LCM of 283, 932, 916, 478
• LCM of 516, 156, 698, 308
• LCM of 467, 168, 902, 712

1. What is the LCM of 480, 986, 720, 860?

Answer: LCM of 480, 986, 720, 860 is 30526560.

2. How to calculate the LCM of 480, 986, 720, 860?

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 480, 986, 720, 860.

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}.