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LCM of 323, 417, 973, 236

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


Find the LCM of 323, 417, 973, 236 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 323, 417, 973, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,417,973,236

Given numbers are 323,417,973,236

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

The LCM of 323,417,973,236 is 222509532.

Find LCM of 323,417,973,236 with Prime Factorization


139 323, 417, 973, 236
323, 3, 7, 236

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

139 x 323 x 3 x 7 x 236 = 222509532

Therefore, the lowest common multiple of 323,417,973,236 is 222509532.

LCM Formula to Find Lowest Common Multiple of 323,417,973,236

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.

323 x 417 x 973 x 236 = 30928824948

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.

323 : 1, 17, 19, 323

417 : 1, 3, 139, 417

973 : 1, 7, 139, 973

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,417,973,236, is 1.

Now, the common factors can be found like this.

323:17x 19

417:3x 139

973:7x 139

236:2x 2x 59

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

139 = 139

Therefore, the value for common factors is 139.

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 = 30928824948/(1x139)

LCM = 30928824948/139

LCM = 222509532

Thus, we can understand that the LCM of 323,417,973,236 is 222509532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 417, 973, 236

1. What is the LCM of 323, 417, 973, 236?

Answer: LCM of 323, 417, 973, 236 is 222509532.

2. How to calculate the LCM of 323, 417, 973, 236?

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 323, 417, 973, 236.

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}.