Given numbers are 338,107,500,749,936

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

The LCM of 338,107,500,749,936 is 1139229000.

Find LCM of 338,107,500,749,936 with Prime Factorization

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

2 x 2 x 13 x 107 x 13 x 1 x 125 x 7 x 18 = 1139229000

Therefore, the lowest common multiple of 338,107,500,749,936 is 1139229000.

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 107 x 500 x 749 x 936 = 12677340312000

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

107 : 1, 107

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

749 : 1, 7, 107, 749

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,107,500,749,936, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

107:107

500:2x 2x 5x 5x 5

749:7x 107

936:2x 2x 2x 3x 3x 13

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 13x 107 = 11128

Therefore, the value for common factors is 11128.

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 = 12677340312000/(1x11128)

LCM = 12677340312000/11128

LCM = 1139229000

Thus, we can understand that the LCM of 338,107,500,749,936 is 1139229000.

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

• LCM of 679, 137, 913, 814, 853
• LCM of 783, 450, 774, 913, 492
• LCM of 604, 912, 721, 965, 878
• LCM of 154, 585, 261, 760, 689
• LCM of 688, 270, 948, 718, 213

1. What is the LCM of 338, 107, 500, 749, 936?

Answer: LCM of 338, 107, 500, 749, 936 is 1139229000.

2. How to calculate the LCM of 338, 107, 500, 749, 936?

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, 107, 500, 749, 936.

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}.