Given numbers are 780,749,338,334,194

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

The LCM of 780,749,338,334,194 is 123029137140.

Find LCM of 780,749,338,334,194 with Prime Factorization

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

2 x 13 x 30 x 749 x 13 x 167 x 97 = 123029137140

Therefore, the lowest common multiple of 780,749,338,334,194 is 123029137140.

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.

780 x 749 x 338 x 334 x 194 = 12795030262560

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

749 : 1, 7, 107, 749

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

334 : 1, 2, 167, 334

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,749,338,334,194, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

749:7x 107

338:2x 13x 13

334:2x 167

194:2x 97

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 13 = 104

Therefore, the value for common factors is 104.

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 = 12795030262560/(1x104)

LCM = 12795030262560/104

LCM = 123029137140

Thus, we can understand that the LCM of 780,749,338,334,194 is 123029137140.

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

• LCM of 859, 983, 498, 954, 281
• LCM of 683, 431, 125, 370, 930
• LCM of 174, 377, 279, 862, 710
• LCM of 113, 619, 397, 679, 934
• LCM of 537, 525, 201, 404, 640

1. What is the LCM of 780, 749, 338, 334, 194?

Answer: LCM of 780, 749, 338, 334, 194 is 123029137140.

2. How to calculate the LCM of 780, 749, 338, 334, 194?

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 780, 749, 338, 334, 194.

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}.