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LCM of 944, 377, 886, 988

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


Find the LCM of 944, 377, 886, 988 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 944, 377, 886, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 944,377,886,988

Given numbers are 944,377,886,988

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

The LCM of 944,377,886,988 is 2995509296.

Find LCM of 944,377,886,988 with Prime Factorization


2 944, 377, 886, 988
2 472, 377, 443, 494
13 236, 377, 443, 247
236, 29, 443, 19

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

2 x 2 x 13 x 236 x 29 x 443 x 19 = 2995509296

Therefore, the lowest common multiple of 944,377,886,988 is 2995509296.

LCM Formula to Find Lowest Common Multiple of 944,377,886,988

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.

944 x 377 x 886 x 988 = 311532966784

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

377 : 1, 13, 29, 377

886 : 1, 2, 443, 886

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,377,886,988, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

377:13x 29

886:2x 443

988:2x 2x 13x 19

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 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 311532966784/(1x104)

LCM = 311532966784/104

LCM = 2995509296

Thus, we can understand that the LCM of 944,377,886,988 is 2995509296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 944, 377, 886, 988

1. What is the LCM of 944, 377, 886, 988?

Answer: LCM of 944, 377, 886, 988 is 2995509296.

2. How to calculate the LCM of 944, 377, 886, 988?

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 944, 377, 886, 988.

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}.