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LCM of 994, 661, 378

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


Find the LCM of 994, 661, 378 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, 661, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,661,378

Given numbers are 994,661,378

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

The LCM of 994,661,378 is 17739918.

Find LCM of 994,661,378 with Prime Factorization


2 994, 661, 378
7 497, 661, 189
71, 661, 27

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

2 x 7 x 71 x 661 x 27 = 17739918

Therefore, the lowest common multiple of 994,661,378 is 17739918.

LCM Formula to Find Lowest Common Multiple of 994,661,378

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 661 x 378 = 248358852

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

661 : 1, 661

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,661,378, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

661:661

378:2x 3x 3x 3x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 248358852/(1x14)

LCM = 248358852/14

LCM = 17739918

Thus, we can understand that the LCM of 994,661,378 is 17739918.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 994, 661, 378

1. What is the LCM of 994, 661, 378?

Answer: LCM of 994, 661, 378 is 17739918.

2. How to calculate the LCM of 994, 661, 378?

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, 661, 378.

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}.