Given numbers are 919,312,420,988

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

The LCM of 919,312,420,988 is 190674120.

Find LCM of 919,312,420,988 with Prime Factorization

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

2 x 2 x 3 x 13 x 919 x 2 x 35 x 19 = 190674120

Therefore, the lowest common multiple of 919,312,420,988 is 190674120.

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 312 x 420 x 988 = 118980650880

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

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,312,420,988, is 1.

Now, the common factors can be found like this.

919:919

312:2x 2x 2x 3x 13

420:2x 2x 3x 5x 7

988:2x 2x 13x 19

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 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 118980650880/(1x624)

LCM = 118980650880/624

LCM = 190674120

Thus, we can understand that the LCM of 919,312,420,988 is 190674120.

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

• LCM of 199, 307, 551, 783
• LCM of 324, 700, 478, 925
• LCM of 886, 834, 718, 552
• LCM of 963, 911, 450, 932
• LCM of 897, 200, 290, 390

1. What is the LCM of 919, 312, 420, 988?

Answer: LCM of 919, 312, 420, 988 is 190674120.

2. How to calculate the LCM of 919, 312, 420, 988?

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, 312, 420, 988.

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}.