Given numbers are 217,279,327,642

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

The LCM of 217,279,327,642 is 45555678.

Find LCM of 217,279,327,642 with Prime Factorization

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

3 x 31 x 7 x 3 x 109 x 214 = 45555678

Therefore, the lowest common multiple of 217,279,327,642 is 45555678.

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.

217 x 279 x 327 x 642 = 12710034162

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.

217 : 1, 7, 31, 217

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

327 : 1, 3, 109, 327

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,279,327,642, is 1.

Now, the common factors can be found like this.

217:7x 31

279:3x 3x 31

327:3x 109

642:2x 3x 107

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

3x 3x 31 = 279

Therefore, the value for common factors is 279.

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 = 12710034162/(1x279)

LCM = 12710034162/279

LCM = 45555678

Thus, we can understand that the LCM of 217,279,327,642 is 45555678.

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

• LCM of 345, 893, 857, 737
• LCM of 184, 859, 812, 172
• LCM of 404, 587, 117, 833
• LCM of 868, 594, 686, 978
• LCM of 343, 521, 579, 191

1. What is the LCM of 217, 279, 327, 642?

Answer: LCM of 217, 279, 327, 642 is 45555678.

2. How to calculate the LCM of 217, 279, 327, 642?

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 217, 279, 327, 642.

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}.