Given numbers are 678,76,949

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

The LCM of 678,76,949 is 24450036.

Find LCM of 678,76,949 with Prime Factorization

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

2 x 339 x 38 x 949 = 24450036

Therefore, the lowest common multiple of 678,76,949 is 24450036.

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.

678 x 76 x 949 = 48900072

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

76 : 1, 2, 4, 19, 38, 76

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,76,949, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

76:2x 2x 19

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 48900072/(1x2)

LCM = 48900072/2

LCM = 24450036

Thus, we can understand that the LCM of 678,76,949 is 24450036.

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

• LCM of 793, 21, 975
• LCM of 940, 50, 904
• LCM of 198, 16, 536
• LCM of 606, 83, 866
• LCM of 992, 83, 570

1. What is the LCM of 678, 76, 949?

Answer: LCM of 678, 76, 949 is 24450036.

2. How to calculate the LCM of 678, 76, 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 678, 76, 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}.