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LCM of 310, 985, 204, 673

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


Find the LCM of 310, 985, 204, 673 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 310, 985, 204, 673. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,985,204,673

Given numbers are 310,985,204,673

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

The LCM of 310,985,204,673 is 4192211220.

Find LCM of 310,985,204,673 with Prime Factorization


2 310, 985, 204, 673
5 155, 985, 102, 673
31, 197, 102, 673

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

2 x 5 x 31 x 197 x 102 x 673 = 4192211220

Therefore, the lowest common multiple of 310,985,204,673 is 4192211220.

LCM Formula to Find Lowest Common Multiple of 310,985,204,673

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.

310 x 985 x 204 x 673 = 41922112200

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

985 : 1, 5, 197, 985

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

673 : 1, 673

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,985,204,673, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

985:5x 197

204:2x 2x 3x 17

673:673

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 41922112200/(1x10)

LCM = 41922112200/10

LCM = 4192211220

Thus, we can understand that the LCM of 310,985,204,673 is 4192211220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 985, 204, 673

1. What is the LCM of 310, 985, 204, 673?

Answer: LCM of 310, 985, 204, 673 is 4192211220.

2. How to calculate the LCM of 310, 985, 204, 673?

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 310, 985, 204, 673.

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}.