Given numbers are 754,319,840,497

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

The LCM of 754,319,840,497 is 247327080.

Find LCM of 754,319,840,497 with Prime Factorization

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

2 x 7 x 29 x 13 x 11 x 60 x 71 = 247327080

Therefore, the lowest common multiple of 754,319,840,497 is 247327080.

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 319 x 840 x 497 = 100414794480

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

319 : 1, 11, 29, 319

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,319,840,497, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

319:11x 29

840:2x 2x 2x 3x 5x 7

497:7x 71

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

2x 7x 29 = 406

Therefore, the value for common factors is 406.

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 = 100414794480/(1x406)

LCM = 100414794480/406

LCM = 247327080

Thus, we can understand that the LCM of 754,319,840,497 is 247327080.

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

• LCM of 763, 815, 194, 930
• LCM of 138, 478, 510, 321
• LCM of 577, 333, 332, 481
• LCM of 813, 172, 990, 285
• LCM of 519, 974, 436, 871

1. What is the LCM of 754, 319, 840, 497?

Answer: LCM of 754, 319, 840, 497 is 247327080.

2. How to calculate the LCM of 754, 319, 840, 497?

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, 319, 840, 497.

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}.