Given numbers are 274,780,794,119,854

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

The LCM of 274,780,794,119,854 is 307951605780.

Find LCM of 274,780,794,119,854 with Prime Factorization

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

2 x 7 x 137 x 390 x 397 x 17 x 61 = 307951605780

Therefore, the lowest common multiple of 274,780,794,119,854 is 307951605780.

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.

274 x 780 x 794 x 119 x 854 = 17245289923680

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.

274 : 1, 2, 137, 274

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

794 : 1, 2, 397, 794

119 : 1, 7, 17, 119

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,780,794,119,854, is 1.

Now, the common factors can be found like this.

274:2x 137

780:2x 2x 3x 5x 13

794:2x 397

119:7x 17

854:2x 7x 61

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 7 = 56

Therefore, the value for common factors is 56.

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 = 17245289923680/(1x56)

LCM = 17245289923680/56

LCM = 307951605780

Thus, we can understand that the LCM of 274,780,794,119,854 is 307951605780.

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

• LCM of 344, 556, 583, 487, 260
• LCM of 318, 790, 810, 899, 522
• LCM of 955, 933, 954, 245, 205
• LCM of 748, 528, 592, 718, 302
• LCM of 784, 223, 680, 805, 424

1. What is the LCM of 274, 780, 794, 119, 854?

Answer: LCM of 274, 780, 794, 119, 854 is 307951605780.

2. How to calculate the LCM of 274, 780, 794, 119, 854?

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 274, 780, 794, 119, 854.

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}.