Given numbers are 919,70,205,217

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

The LCM of 919,70,205,217 is 81763430.

Find LCM of 919,70,205,217 with Prime Factorization

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

5 x 7 x 919 x 2 x 41 x 31 = 81763430

Therefore, the lowest common multiple of 919,70,205,217 is 81763430.

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.

919 x 70 x 205 x 217 = 2861720050

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.

919 : 1, 919

70 : 1, 2, 5, 7, 10, 14, 35, 70

205 : 1, 5, 41, 205

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,70,205,217, is 1.

Now, the common factors can be found like this.

919:919

70:2x 5x 7

205:5x 41

217:7x 31

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 2861720050/(1x35)

LCM = 2861720050/35

LCM = 81763430

Thus, we can understand that the LCM of 919,70,205,217 is 81763430.

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

• LCM of 151, 47, 186, 193
• LCM of 459, 91, 561, 136
• LCM of 805, 85, 870, 310
• LCM of 826, 81, 974, 106
• LCM of 343, 72, 939, 953

1. What is the LCM of 919, 70, 205, 217?

Answer: LCM of 919, 70, 205, 217 is 81763430.

2. How to calculate the LCM of 919, 70, 205, 217?

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 919, 70, 205, 217.

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}.