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LCM of 196, 457, 321, 150, 283

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


Find the LCM of 196, 457, 321, 150, 283 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 196, 457, 321, 150, 283. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 196,457,321,150,283

Given numbers are 196,457,321,150,283

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

The LCM of 196,457,321,150,283 is 203424729900.

Find LCM of 196,457,321,150,283 with Prime Factorization


2 196, 457, 321, 150, 283
3 98, 457, 321, 75, 283
98, 457, 107, 25, 283

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

2 x 3 x 98 x 457 x 107 x 25 x 283 = 203424729900

Therefore, the lowest common multiple of 196,457,321,150,283 is 203424729900.

LCM Formula to Find Lowest Common Multiple of 196,457,321,150,283

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.

196 x 457 x 321 x 150 x 283 = 1220548379400

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.

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

457 : 1, 457

321 : 1, 3, 107, 321

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,457,321,150,283, is 1.

Now, the common factors can be found like this.

196:2x 2x 7x 7

457:457

321:3x 107

150:2x 3x 5x 5

283:283

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1220548379400/(1x6)

LCM = 1220548379400/6

LCM = 203424729900

Thus, we can understand that the LCM of 196,457,321,150,283 is 203424729900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 196, 457, 321, 150, 283

1. What is the LCM of 196, 457, 321, 150, 283?

Answer: LCM of 196, 457, 321, 150, 283 is 203424729900.

2. How to calculate the LCM of 196, 457, 321, 150, 283?

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 196, 457, 321, 150, 283.

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}.