Given numbers are 980,140,872,948,470

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

The LCM of 980,140,872,948,470 is 2379735960.

Find LCM of 980,140,872,948,470 with Prime Factorization

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

2 x 2 x 5 x 7 x 1 x 7 x 218 x 237 x 47 = 2379735960

Therefore, the lowest common multiple of 980,140,872,948,470 is 2379735960.

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.

980 x 140 x 872 x 948 x 470 = 53306085504000

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.

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

872 : 1, 2, 4, 8, 109, 218, 436, 872

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

470 : 1, 2, 5, 10, 47, 94, 235, 470

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,140,872,948,470, is 2.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

140:2x 2x 5x 7

872:2x 2x 2x 109

948:2x 2x 3x 79

470:2x 5x 47

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 5x 5x 7 = 11200

Therefore, the value for common factors is 11200.

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 = 53306085504000/(2x11200)

LCM = 53306085504000/22400

LCM = 2379735960

Thus, we can understand that the LCM of 980,140,872,948,470 is 2379735960.

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

• LCM of 733, 956, 547, 544, 972
• LCM of 861, 239, 209, 502, 534
• LCM of 367, 505, 138, 152, 595
• LCM of 300, 758, 936, 497, 242
• LCM of 105, 158, 528, 451, 585

1. What is the LCM of 980, 140, 872, 948, 470?

Answer: LCM of 980, 140, 872, 948, 470 is 2379735960.

2. How to calculate the LCM of 980, 140, 872, 948, 470?

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 980, 140, 872, 948, 470.

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}.