Given numbers are 840,279,271,714

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

The LCM of 840,279,271,714 is 359898840.

Find LCM of 840,279,271,714 with Prime Factorization

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

2 x 3 x 7 x 20 x 93 x 271 x 17 = 359898840

Therefore, the lowest common multiple of 840,279,271,714 is 359898840.

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.

840 x 279 x 271 x 714 = 45347253840

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.

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

271 : 1, 271

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,279,271,714, is 1.

Now, the common factors can be found like this.

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

279:3x 3x 31

271:271

714:2x 3x 7x 17

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 45347253840/(1x126)

LCM = 45347253840/126

LCM = 359898840

Thus, we can understand that the LCM of 840,279,271,714 is 359898840.

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

• LCM of 320, 678, 697, 263
• LCM of 223, 967, 307, 523
• LCM of 664, 991, 397, 827
• LCM of 502, 143, 165, 205
• LCM of 106, 982, 202, 896

1. What is the LCM of 840, 279, 271, 714?

Answer: LCM of 840, 279, 271, 714 is 359898840.

2. How to calculate the LCM of 840, 279, 271, 714?

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 840, 279, 271, 714.

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}.