Given numbers are 901,34,976

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

The LCM of 901,34,976 is 879376.

Find LCM of 901,34,976 with Prime Factorization

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

2 x 17 x 53 x 1 x 488 = 879376

Therefore, the lowest common multiple of 901,34,976 is 879376.

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.

901 x 34 x 976 = 29898784

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.

901 : 1, 17, 53, 901

34 : 1, 2, 17, 34

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,34,976, is 1.

Now, the common factors can be found like this.

901:17x 53

34:2x 17

976:2x 2x 2x 2x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 29898784/(1x34)

LCM = 29898784/34

LCM = 879376

Thus, we can understand that the LCM of 901,34,976 is 879376.

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

• LCM of 871, 79, 867
• LCM of 953, 91, 212
• LCM of 162, 85, 906
• LCM of 203, 21, 929
• LCM of 874, 94, 204

1. What is the LCM of 901, 34, 976?

Answer: LCM of 901, 34, 976 is 879376.

2. How to calculate the LCM of 901, 34, 976?

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 901, 34, 976.

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}.