Given numbers are 338,779,150,756

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

The LCM of 338,779,150,756 is 2488203900.

Find LCM of 338,779,150,756 with Prime Factorization

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

2 x 3 x 169 x 779 x 25 x 126 = 2488203900

Therefore, the lowest common multiple of 338,779,150,756 is 2488203900.

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.

338 x 779 x 150 x 756 = 29858446800

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.

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

779 : 1, 19, 41, 779

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,779,150,756, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

779:19x 41

150:2x 3x 5x 5

756:2x 2x 3x 3x 3x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 29858446800/(1x12)

LCM = 29858446800/12

LCM = 2488203900

Thus, we can understand that the LCM of 338,779,150,756 is 2488203900.

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

• LCM of 530, 732, 908, 550
• LCM of 429, 943, 870, 144
• LCM of 457, 589, 314, 718
• LCM of 581, 847, 822, 577
• LCM of 507, 952, 919, 253

1. What is the LCM of 338, 779, 150, 756?

Answer: LCM of 338, 779, 150, 756 is 2488203900.

2. How to calculate the LCM of 338, 779, 150, 756?

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 338, 779, 150, 756.

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}.