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LCM of 994, 604, 981, 698, 633

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


Find the LCM of 994, 604, 981, 698, 633 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 994, 604, 981, 698, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,604,981,698,633

Given numbers are 994,604,981,698,633

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

The LCM of 994,604,981,698,633 is 21685538793492.

Find LCM of 994,604,981,698,633 with Prime Factorization


2 994, 604, 981, 698, 633
3 497, 302, 981, 349, 633
497, 302, 327, 349, 211

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

2 x 3 x 497 x 302 x 327 x 349 x 211 = 21685538793492

Therefore, the lowest common multiple of 994,604,981,698,633 is 21685538793492.

LCM Formula to Find Lowest Common Multiple of 994,604,981,698,633

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.

994 x 604 x 981 x 698 x 633 = 260226465521904

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

604 : 1, 2, 4, 151, 302, 604

981 : 1, 3, 9, 109, 327, 981

698 : 1, 2, 349, 698

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,604,981,698,633, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

604:2x 2x 151

981:3x 3x 109

698:2x 349

633:3x 211

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 260226465521904/(1x12)

LCM = 260226465521904/12

LCM = 21685538793492

Thus, we can understand that the LCM of 994,604,981,698,633 is 21685538793492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 604, 981, 698, 633

1. What is the LCM of 994, 604, 981, 698, 633?

Answer: LCM of 994, 604, 981, 698, 633 is 21685538793492.

2. How to calculate the LCM of 994, 604, 981, 698, 633?

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 994, 604, 981, 698, 633.

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}.