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LCM of 608, 993, 473, 946

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


Find the LCM of 608, 993, 473, 946 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 608, 993, 473, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,993,473,946

Given numbers are 608,993,473,946

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

The LCM of 608,993,473,946 is 285570912.

Find LCM of 608,993,473,946 with Prime Factorization


2 608, 993, 473, 946
11 304, 993, 473, 473
43 304, 993, 43, 43
304, 993, 1, 1

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

2 x 11 x 43 x 304 x 993 x 1 x 1 = 285570912

Therefore, the lowest common multiple of 608,993,473,946 is 285570912.

LCM Formula to Find Lowest Common Multiple of 608,993,473,946

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.

608 x 993 x 473 x 946 = 270150082752

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

993 : 1, 3, 331, 993

473 : 1, 11, 43, 473

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,993,473,946, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

993:3x 331

473:11x 43

946:2x 11x 43

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

2x 11x 43 = 946

Therefore, the value for common factors is 946.

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 = 270150082752/(1x946)

LCM = 270150082752/946

LCM = 285570912

Thus, we can understand that the LCM of 608,993,473,946 is 285570912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 993, 473, 946

1. What is the LCM of 608, 993, 473, 946?

Answer: LCM of 608, 993, 473, 946 is 285570912.

2. How to calculate the LCM of 608, 993, 473, 946?

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 608, 993, 473, 946.

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}.