Given numbers are 219,214,990,254,357

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

The LCM of 219,214,990,254,357 is 116867166570.

Find LCM of 219,214,990,254,357 with Prime Factorization

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

2 x 3 x 73 x 107 x 165 x 127 x 119 = 116867166570

Therefore, the lowest common multiple of 219,214,990,254,357 is 116867166570.

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.

219 x 214 x 990 x 254 x 357 = 4207217996520

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.

219 : 1, 3, 73, 219

214 : 1, 2, 107, 214

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

254 : 1, 2, 127, 254

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,214,990,254,357, is 1.

Now, the common factors can be found like this.

219:3x 73

214:2x 107

990:2x 3x 3x 5x 11

254:2x 127

357:3x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 4207217996520/(1x36)

LCM = 4207217996520/36

LCM = 116867166570

Thus, we can understand that the LCM of 219,214,990,254,357 is 116867166570.

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

• LCM of 495, 602, 318, 494, 760
• LCM of 673, 105, 331, 939, 988
• LCM of 666, 677, 751, 616, 857
• LCM of 587, 390, 336, 930, 174
• LCM of 580, 794, 597, 977, 861

1. What is the LCM of 219, 214, 990, 254, 357?

Answer: LCM of 219, 214, 990, 254, 357 is 116867166570.

2. How to calculate the LCM of 219, 214, 990, 254, 357?

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 219, 214, 990, 254, 357.

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}.