Given numbers are 980,338,638,676,792

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

The LCM of 980,338,638,676,792 is 950990040.

Find LCM of 980,338,638,676,792 with Prime Factorization

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

2 x 2 x 11 x 13 x 13 x 245 x 1 x 29 x 1 x 18 = 950990040

Therefore, the lowest common multiple of 980,338,638,676,792 is 950990040.

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 338 x 638 x 676 x 792 = 113144990999040

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

338 : 1, 2, 13, 26, 169, 338

638 : 1, 2, 11, 22, 29, 58, 319, 638

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,338,638,676,792, is 2.

Now, the common factors can be found like this.

980:2x 2x 5x 7x 7

338:2x 13x 13

638:2x 11x 29

676:2x 2x 13x 13

792:2x 2x 2x 3x 3x 11

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 11x 13x 13 = 59488

Therefore, the value for common factors is 59488.

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 = 113144990999040/(2x59488)

LCM = 113144990999040/118976

LCM = 950990040

Thus, we can understand that the LCM of 980,338,638,676,792 is 950990040.

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

• LCM of 172, 696, 433, 490, 495
• LCM of 472, 162, 890, 750, 254
• LCM of 611, 762, 578, 945, 603
• LCM of 662, 622, 903, 532, 285
• LCM of 926, 186, 285, 403, 181

1. What is the LCM of 980, 338, 638, 676, 792?

Answer: LCM of 980, 338, 638, 676, 792 is 950990040.

2. How to calculate the LCM of 980, 338, 638, 676, 792?

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, 338, 638, 676, 792.

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}.