Given numbers are 282,918,440,674,434

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

The LCM of 282,918,440,674,434 is 694149243480.

Find LCM of 282,918,440,674,434 with Prime Factorization

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

2 x 3 x 47 x 153 x 220 x 337 x 217 = 694149243480

Therefore, the lowest common multiple of 282,918,440,674,434 is 694149243480.

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.

282 x 918 x 440 x 674 x 434 = 33319163687040

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

674 : 1, 2, 337, 674

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,918,440,674,434, is 2.

Now, the common factors can be found like this.

282:2x 3x 47

918:2x 3x 3x 3x 17

440:2x 2x 2x 5x 11

674:2x 337

434:2x 7x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 33319163687040/(2x24)

LCM = 33319163687040/48

LCM = 694149243480

Thus, we can understand that the LCM of 282,918,440,674,434 is 694149243480.

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

• LCM of 677, 617, 967, 897, 100
• LCM of 694, 702, 487, 142, 794
• LCM of 130, 634, 994, 671, 881
• LCM of 747, 501, 716, 400, 532
• LCM of 833, 454, 715, 891, 624

1. What is the LCM of 282, 918, 440, 674, 434?

Answer: LCM of 282, 918, 440, 674, 434 is 694149243480.

2. How to calculate the LCM of 282, 918, 440, 674, 434?

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 282, 918, 440, 674, 434.

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}.