Given numbers are 980,438,717,348,992

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

The LCM of 980,438,717,348,992 is 368907742560.

Find LCM of 980,438,717,348,992 with Prime Factorization

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

2 x 2 x 3 x 245 x 73 x 239 x 29 x 248 = 368907742560

Therefore, the lowest common multiple of 980,438,717,348,992 is 368907742560.

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 438 x 717 x 348 x 992 = 106245429857280

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

717 : 1, 3, 239, 717

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,438,717,348,992, is 1.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

438:2x 3x 73

717:3x 239

348:2x 2x 3x 29

992:2x 2x 2x 2x 2x 31

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 106245429857280/(1x288)

LCM = 106245429857280/288

LCM = 368907742560

Thus, we can understand that the LCM of 980,438,717,348,992 is 368907742560.

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

• LCM of 265, 362, 247, 327, 442
• LCM of 831, 816, 894, 897, 925
• LCM of 899, 297, 249, 323, 275
• LCM of 644, 859, 282, 726, 820
• LCM of 221, 916, 381, 252, 379

1. What is the LCM of 980, 438, 717, 348, 992?

Answer: LCM of 980, 438, 717, 348, 992 is 368907742560.

2. How to calculate the LCM of 980, 438, 717, 348, 992?

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, 438, 717, 348, 992.

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}.