Given numbers are 211,705,319,752

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

The LCM of 211,705,319,752 is 759245520.

Find LCM of 211,705,319,752 with Prime Factorization

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

47 x 211 x 15 x 319 x 16 = 759245520

Therefore, the lowest common multiple of 211,705,319,752 is 759245520.

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.

211 x 705 x 319 x 752 = 35684539440

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.

211 : 1, 211

705 : 1, 3, 5, 15, 47, 141, 235, 705

319 : 1, 11, 29, 319

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,705,319,752, is 1.

Now, the common factors can be found like this.

211:211

705:3x 5x 47

319:11x 29

752:2x 2x 2x 2x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

47 = 47

Therefore, the value for common factors is 47.

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 = 35684539440/(1x47)

LCM = 35684539440/47

LCM = 759245520

Thus, we can understand that the LCM of 211,705,319,752 is 759245520.

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

• LCM of 307, 548, 792, 582
• LCM of 889, 511, 495, 846
• LCM of 471, 392, 516, 963
• LCM of 182, 209, 501, 697
• LCM of 897, 412, 719, 975

1. What is the LCM of 211, 705, 319, 752?

Answer: LCM of 211, 705, 319, 752 is 759245520.

2. How to calculate the LCM of 211, 705, 319, 752?

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 211, 705, 319, 752.

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}.