Given numbers are 400,258,306,103,949

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

The LCM of 400,258,306,103,949 is 257231005200.

Find LCM of 400,258,306,103,949 with Prime Factorization

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

2 x 3 x 200 x 43 x 51 x 103 x 949 = 257231005200

Therefore, the lowest common multiple of 400,258,306,103,949 is 257231005200.

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.

400 x 258 x 306 x 103 x 949 = 3086772062400

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

258 : 1, 2, 3, 6, 43, 86, 129, 258

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

103 : 1, 103

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,258,306,103,949, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

258:2x 3x 43

306:2x 3x 3x 17

103:103

949:13x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3086772062400/(1x12)

LCM = 3086772062400/12

LCM = 257231005200

Thus, we can understand that the LCM of 400,258,306,103,949 is 257231005200.

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

• LCM of 216, 571, 786, 655, 836
• LCM of 949, 527, 871, 943, 658
• LCM of 134, 679, 832, 670, 424
• LCM of 115, 653, 904, 146, 460
• LCM of 157, 946, 665, 502, 541

1. What is the LCM of 400, 258, 306, 103, 949?

Answer: LCM of 400, 258, 306, 103, 949 is 257231005200.

2. How to calculate the LCM of 400, 258, 306, 103, 949?

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 400, 258, 306, 103, 949.

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}.