Given numbers are 434,505,871,918,514

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

The LCM of 434,505,871,918,514 is 22518791068410.

Find LCM of 434,505,871,918,514 with Prime Factorization

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

2 x 217 x 505 x 871 x 459 x 257 = 22518791068410

Therefore, the lowest common multiple of 434,505,871,918,514 is 22518791068410.

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.

434 x 505 x 871 x 918 x 514 = 90075164273640

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.

434 : 1, 2, 7, 14, 31, 62, 217, 434

505 : 1, 5, 101, 505

871 : 1, 13, 67, 871

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,505,871,918,514, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

505:5x 101

871:13x 67

918:2x 3x 3x 3x 17

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 90075164273640/(1x4)

LCM = 90075164273640/4

LCM = 22518791068410

Thus, we can understand that the LCM of 434,505,871,918,514 is 22518791068410.

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

• LCM of 718, 298, 849, 459, 208
• LCM of 867, 587, 648, 725, 510
• LCM of 763, 725, 921, 440, 824
• LCM of 591, 989, 110, 250, 579
• LCM of 710, 810, 270, 970, 385

1. What is the LCM of 434, 505, 871, 918, 514?

Answer: LCM of 434, 505, 871, 918, 514 is 22518791068410.

2. How to calculate the LCM of 434, 505, 871, 918, 514?

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 434, 505, 871, 918, 514.

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}.