Given numbers are 214,514,319,521,402

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

The LCM of 214,514,319,521,402 is 1837263133002.

Find LCM of 214,514,319,521,402 with Prime Factorization

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

2 x 107 x 257 x 319 x 521 x 201 = 1837263133002

Therefore, the lowest common multiple of 214,514,319,521,402 is 1837263133002.

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.

214 x 514 x 319 x 521 x 402 = 7349052532008

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.

214 : 1, 2, 107, 214

514 : 1, 2, 257, 514

319 : 1, 11, 29, 319

521 : 1, 521

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,514,319,521,402, is 1.

Now, the common factors can be found like this.

214:2x 107

514:2x 257

319:11x 29

521:521

402:2x 3x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7349052532008/(1x4)

LCM = 7349052532008/4

LCM = 1837263133002

Thus, we can understand that the LCM of 214,514,319,521,402 is 1837263133002.

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

• LCM of 315, 489, 673, 802, 488
• LCM of 393, 727, 425, 648, 758
• LCM of 649, 783, 282, 576, 187
• LCM of 552, 799, 707, 451, 999
• LCM of 120, 480, 956, 263, 515

1. What is the LCM of 214, 514, 319, 521, 402?

Answer: LCM of 214, 514, 319, 521, 402 is 1837263133002.

2. How to calculate the LCM of 214, 514, 319, 521, 402?

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 214, 514, 319, 521, 402.

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}.