Given numbers are 754,435,319,313

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

The LCM of 754,435,319,313 is 38940330.

Find LCM of 754,435,319,313 with Prime Factorization

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

29 x 26 x 15 x 11 x 313 = 38940330

Therefore, the lowest common multiple of 754,435,319,313 is 38940330.

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.

754 x 435 x 319 x 313 = 32748817530

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

435 : 1, 3, 5, 15, 29, 87, 145, 435

319 : 1, 11, 29, 319

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,435,319,313, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

435:3x 5x 29

319:11x 29

313:313

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 32748817530/(1x841)

LCM = 32748817530/841

LCM = 38940330

Thus, we can understand that the LCM of 754,435,319,313 is 38940330.

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

• LCM of 868, 663, 659, 766
• LCM of 210, 930, 908, 305
• LCM of 970, 561, 911, 484
• LCM of 572, 573, 343, 275
• LCM of 574, 634, 981, 783

1. What is the LCM of 754, 435, 319, 313?

Answer: LCM of 754, 435, 319, 313 is 38940330.

2. How to calculate the LCM of 754, 435, 319, 313?

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 754, 435, 319, 313.

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}.