Given numbers are 624,814,690,949

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

The LCM of 624,814,690,949 is 2132061360.

Find LCM of 624,814,690,949 with Prime Factorization

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

2 x 3 x 13 x 8 x 407 x 115 x 73 = 2132061360

Therefore, the lowest common multiple of 624,814,690,949 is 2132061360.

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.

624 x 814 x 690 x 949 = 332601572160

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

814 : 1, 2, 11, 22, 37, 74, 407, 814

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,814,690,949, is 1.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

814:2x 11x 37

690:2x 3x 5x 23

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 332601572160/(1x156)

LCM = 332601572160/156

LCM = 2132061360

Thus, we can understand that the LCM of 624,814,690,949 is 2132061360.

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

• LCM of 100, 491, 254, 289
• LCM of 708, 415, 538, 690
• LCM of 666, 957, 379, 772
• LCM of 441, 678, 734, 871
• LCM of 213, 611, 670, 123

1. What is the LCM of 624, 814, 690, 949?

Answer: LCM of 624, 814, 690, 949 is 2132061360.

2. How to calculate the LCM of 624, 814, 690, 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 624, 814, 690, 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}.