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LCM of 322, 178, 534, 422

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 322, 178, 534, 422 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 322, 178, 534, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,178,534,422

Given numbers are 322,178,534,422

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

The LCM of 322,178,534,422 is 18140514.

Find LCM of 322,178,534,422 with Prime Factorization


2 322, 178, 534, 422
89 161, 89, 267, 211
161, 1, 3, 211

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

2 x 89 x 161 x 1 x 3 x 211 = 18140514

Therefore, the lowest common multiple of 322,178,534,422 is 18140514.

LCM Formula to Find Lowest Common Multiple of 322,178,534,422

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.

322 x 178 x 534 x 422 = 12916045968

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

178 : 1, 2, 89, 178

534 : 1, 2, 3, 6, 89, 178, 267, 534

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,178,534,422, is 2.

Now, the common factors can be found like this.

322:2x 7x 23

178:2x 89

534:2x 3x 89

422:2x 211

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 89 = 356

Therefore, the value for common factors is 356.

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 = 12916045968/(2x356)

LCM = 12916045968/712

LCM = 18140514

Thus, we can understand that the LCM of 322,178,534,422 is 18140514.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 178, 534, 422

1. What is the LCM of 322, 178, 534, 422?

Answer: LCM of 322, 178, 534, 422 is 18140514.

2. How to calculate the LCM of 322, 178, 534, 422?

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 322, 178, 534, 422.

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}.