Given numbers are 490,399,750,951,224

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

The LCM of 490,399,750,951,224 is 3541524000.

Find LCM of 490,399,750,951,224 with Prime Factorization

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

2 x 3 x 5 x 7 x 7 x 19 x 25 x 317 x 16 = 3541524000

Therefore, the lowest common multiple of 490,399,750,951,224 is 3541524000.

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.

490 x 399 x 750 x 951 x 224 = 31236241680000

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

399 : 1, 3, 7, 19, 21, 57, 133, 399

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

951 : 1, 3, 317, 951

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,399,750,951,224, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

399:3x 7x 19

750:2x 3x 5x 5x 5

951:3x 317

224:2x 2x 2x 2x 2x 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 3x 3x 5x 7x 7 = 8820

Therefore, the value for common factors is 8820.

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 = 31236241680000/(1x8820)

LCM = 31236241680000/8820

LCM = 3541524000

Thus, we can understand that the LCM of 490,399,750,951,224 is 3541524000.

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

• LCM of 404, 837, 223, 616, 107
• LCM of 277, 904, 613, 834, 117
• LCM of 717, 823, 975, 252, 526
• LCM of 563, 132, 797, 188, 853
• LCM of 567, 692, 849, 897, 218

1. What is the LCM of 490, 399, 750, 951, 224?

Answer: LCM of 490, 399, 750, 951, 224 is 3541524000.

2. How to calculate the LCM of 490, 399, 750, 951, 224?

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 490, 399, 750, 951, 224.

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}.