Given numbers are 919,771,840,279,289

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

The LCM of 919,771,840,279,289 is 5332228012440.

Find LCM of 919,771,840,279,289 with Prime Factorization

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

3 x 919 x 257 x 280 x 93 x 289 = 5332228012440

Therefore, the lowest common multiple of 919,771,840,279,289 is 5332228012440.

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.

919 x 771 x 840 x 279 x 289 = 47990052111960

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.

919 : 1, 919

771 : 1, 3, 257, 771

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

279 : 1, 3, 9, 31, 93, 279

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,771,840,279,289, is 1.

Now, the common factors can be found like this.

919:919

771:3x 257

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

279:3x 3x 31

289:17x 17

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 47990052111960/(1x9)

LCM = 47990052111960/9

LCM = 5332228012440

Thus, we can understand that the LCM of 919,771,840,279,289 is 5332228012440.

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

• LCM of 372, 751, 341, 202, 782
• LCM of 776, 649, 609, 601, 266
• LCM of 747, 817, 287, 701, 369
• LCM of 900, 833, 384, 240, 661
• LCM of 571, 297, 482, 406, 883

1. What is the LCM of 919, 771, 840, 279, 289?

Answer: LCM of 919, 771, 840, 279, 289 is 5332228012440.

2. How to calculate the LCM of 919, 771, 840, 279, 289?

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 919, 771, 840, 279, 289.

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}.