Given numbers are 214,312,340,377,279

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

The LCM of 214,312,340,377,279 is 7653115080.

Find LCM of 214,312,340,377,279 with Prime Factorization

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

2 x 2 x 3 x 13 x 107 x 2 x 85 x 29 x 93 = 7653115080

Therefore, the lowest common multiple of 214,312,340,377,279 is 7653115080.

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 312 x 340 x 377 x 279 = 2387771904960

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

377 : 1, 13, 29, 377

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,312,340,377,279, is 1.

Now, the common factors can be found like this.

214:2x 107

312:2x 2x 2x 3x 13

340:2x 2x 5x 17

377:13x 29

279:3x 3x 31

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 2387771904960/(1x312)

LCM = 2387771904960/312

LCM = 7653115080

Thus, we can understand that the LCM of 214,312,340,377,279 is 7653115080.

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

• LCM of 156, 412, 521, 108, 602
• LCM of 308, 272, 848, 530, 836
• LCM of 242, 525, 964, 209, 138
• LCM of 432, 527, 844, 353, 727
• LCM of 114, 992, 893, 279, 286

1. What is the LCM of 214, 312, 340, 377, 279?

Answer: LCM of 214, 312, 340, 377, 279 is 7653115080.

2. How to calculate the LCM of 214, 312, 340, 377, 279?

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, 312, 340, 377, 279.

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}.