Given numbers are 350,311,524,944,420

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

The LCM of 350,311,524,944,420 is 20191239600.

Find LCM of 350,311,524,944,420 with Prime Factorization

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

2 x 2 x 5 x 7 x 5 x 311 x 131 x 236 x 3 = 20191239600

Therefore, the lowest common multiple of 350,311,524,944,420 is 20191239600.

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.

350 x 311 x 524 x 944 x 420 = 22614188352000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

311 : 1, 311

524 : 1, 2, 4, 131, 262, 524

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,311,524,944,420, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

311:311

524:2x 2x 131

944:2x 2x 2x 2x 59

420:2x 2x 3x 5x 7

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 2x 5x 7 = 1120

Therefore, the value for common factors is 1120.

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 = 22614188352000/(1x1120)

LCM = 22614188352000/1120

LCM = 20191239600

Thus, we can understand that the LCM of 350,311,524,944,420 is 20191239600.

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

• LCM of 224, 977, 605, 679, 654
• LCM of 223, 118, 252, 392, 350
• LCM of 223, 846, 926, 363, 390
• LCM of 104, 338, 271, 934, 940
• LCM of 528, 881, 837, 147, 254

1. What is the LCM of 350, 311, 524, 944, 420?

Answer: LCM of 350, 311, 524, 944, 420 is 20191239600.

2. How to calculate the LCM of 350, 311, 524, 944, 420?

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 350, 311, 524, 944, 420.

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}.