Given numbers are 146,896,119,311

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

The LCM of 146,896,119,311 is 345812096.

Find LCM of 146,896,119,311 with Prime Factorization

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

2 x 7 x 73 x 64 x 17 x 311 = 345812096

Therefore, the lowest common multiple of 146,896,119,311 is 345812096.

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.

146 x 896 x 119 x 311 = 4841369344

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.

146 : 1, 2, 73, 146

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

119 : 1, 7, 17, 119

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,896,119,311, is 1.

Now, the common factors can be found like this.

146:2x 73

896:2x 2x 2x 2x 2x 2x 2x 7

119:7x 17

311:311

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4841369344/(1x14)

LCM = 4841369344/14

LCM = 345812096

Thus, we can understand that the LCM of 146,896,119,311 is 345812096.

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

• LCM of 825, 412, 404, 281
• LCM of 815, 807, 699, 865
• LCM of 492, 565, 201, 956
• LCM of 503, 160, 444, 369
• LCM of 517, 359, 604, 496

1. What is the LCM of 146, 896, 119, 311?

Answer: LCM of 146, 896, 119, 311 is 345812096.

2. How to calculate the LCM of 146, 896, 119, 311?

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 146, 896, 119, 311.

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}.