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LCM of 945, 373, 373, 320, 229

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


Find the LCM of 945, 373, 373, 320, 229 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 945, 373, 373, 320, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,373,373,320,229

Given numbers are 945,373,373,320,229

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

The LCM of 945,373,373,320,229 is 5166020160.

Find LCM of 945,373,373,320,229 with Prime Factorization


5 945, 373, 373, 320, 229
373 189, 373, 373, 64, 229
189, 1, 1, 64, 229

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

5 x 373 x 189 x 1 x 1 x 64 x 229 = 5166020160

Therefore, the lowest common multiple of 945,373,373,320,229 is 5166020160.

LCM Formula to Find Lowest Common Multiple of 945,373,373,320,229

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.

945 x 373 x 373 x 320 x 229 = 9634627598400

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

373 : 1, 373

373 : 1, 373

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,373,373,320,229, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

373:373

373:373

320:2x 2x 2x 2x 2x 2x 5

229:229

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

5x 373 = 1865

Therefore, the value for common factors is 1865.

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 = 9634627598400/(1x1865)

LCM = 9634627598400/1865

LCM = 5166020160

Thus, we can understand that the LCM of 945,373,373,320,229 is 5166020160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 373, 373, 320, 229

1. What is the LCM of 945, 373, 373, 320, 229?

Answer: LCM of 945, 373, 373, 320, 229 is 5166020160.

2. How to calculate the LCM of 945, 373, 373, 320, 229?

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 945, 373, 373, 320, 229.

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}.