Given numbers are 434,504,398,917,959

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

The LCM of 434,504,398,917,959 is 55800381672.

Find LCM of 434,504,398,917,959 with Prime Factorization

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

2 x 7 x 31 x 36 x 199 x 131 x 137 = 55800381672

Therefore, the lowest common multiple of 434,504,398,917,959 is 55800381672.

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 504 x 398 x 917 x 959 = 76558123653984

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

398 : 1, 2, 199, 398

917 : 1, 7, 131, 917

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,504,398,917,959, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

504:2x 2x 2x 3x 3x 7

398:2x 199

917:7x 131

959:7x 137

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 7x 7x 7 = 1372

Therefore, the value for common factors is 1372.

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 = 76558123653984/(1x1372)

LCM = 76558123653984/1372

LCM = 55800381672

Thus, we can understand that the LCM of 434,504,398,917,959 is 55800381672.

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

• LCM of 256, 835, 550, 654, 775
• LCM of 703, 908, 791, 697, 541
• LCM of 977, 432, 759, 715, 300
• LCM of 933, 972, 337, 651, 498
• LCM of 120, 700, 574, 363, 154

1. What is the LCM of 434, 504, 398, 917, 959?

Answer: LCM of 434, 504, 398, 917, 959 is 55800381672.

2. How to calculate the LCM of 434, 504, 398, 917, 959?

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, 504, 398, 917, 959.

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}.