Given numbers are 766,237,364,208

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

The LCM of 766,237,364,208 is 132162576.

Find LCM of 766,237,364,208 with Prime Factorization

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

2 x 2 x 13 x 383 x 237 x 7 x 4 = 132162576

Therefore, the lowest common multiple of 766,237,364,208 is 132162576.

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.

766 x 237 x 364 x 208 = 13744907904

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.

766 : 1, 2, 383, 766

237 : 1, 3, 79, 237

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,237,364,208, is 1.

Now, the common factors can be found like this.

766:2x 383

237:3x 79

364:2x 2x 7x 13

208:2x 2x 2x 2x 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 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 = 13744907904/(1x104)

LCM = 13744907904/104

LCM = 132162576

Thus, we can understand that the LCM of 766,237,364,208 is 132162576.

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

• LCM of 434, 243, 663, 922
• LCM of 538, 886, 247, 270
• LCM of 132, 901, 650, 959
• LCM of 900, 573, 651, 561
• LCM of 139, 578, 228, 817

1. What is the LCM of 766, 237, 364, 208?

Answer: LCM of 766, 237, 364, 208 is 132162576.

2. How to calculate the LCM of 766, 237, 364, 208?

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 766, 237, 364, 208.

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}.