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LCM of 997, 608, 209, 946

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


Find the LCM of 997, 608, 209, 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 997, 608, 209, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,608,209,946

Given numbers are 997,608,209,946

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

The LCM of 997,608,209,946 is 286721248.

Find LCM of 997,608,209,946 with Prime Factorization


2 997, 608, 209, 946
11 997, 304, 209, 473
19 997, 304, 19, 43
997, 16, 1, 43

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

2 x 11 x 19 x 997 x 16 x 1 x 43 = 286721248

Therefore, the lowest common multiple of 997,608,209,946 is 286721248.

LCM Formula to Find Lowest Common Multiple of 997,608,209,946

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.

997 x 608 x 209 x 946 = 119849481664

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.

997 : 1, 997

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

209 : 1, 11, 19, 209

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 997,608,209,946, is 1.

Now, the common factors can be found like this.

997:997

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

209:11x 19

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 19 = 418

Therefore, the value for common factors is 418.

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 = 119849481664/(1x418)

LCM = 119849481664/418

LCM = 286721248

Thus, we can understand that the LCM of 997,608,209,946 is 286721248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 608, 209, 946

1. What is the LCM of 997, 608, 209, 946?

Answer: LCM of 997, 608, 209, 946 is 286721248.

2. How to calculate the LCM of 997, 608, 209, 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 997, 608, 209, 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}.