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LCM of 344, 406, 754, 887

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


Find the LCM of 344, 406, 754, 887 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 344, 406, 754, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,406,754,887

Given numbers are 344,406,754,887

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

The LCM of 344,406,754,887 is 805232792.

Find LCM of 344,406,754,887 with Prime Factorization


2 344, 406, 754, 887
29 172, 203, 377, 887
172, 7, 13, 887

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

2 x 29 x 172 x 7 x 13 x 887 = 805232792

Therefore, the lowest common multiple of 344,406,754,887 is 805232792.

LCM Formula to Find Lowest Common Multiple of 344,406,754,887

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.

344 x 406 x 754 x 887 = 93407003872

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

406 : 1, 2, 7, 14, 29, 58, 203, 406

754 : 1, 2, 13, 26, 29, 58, 377, 754

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,406,754,887, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

406:2x 7x 29

754:2x 13x 29

887:887

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 29 = 116

Therefore, the value for common factors is 116.

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 = 93407003872/(1x116)

LCM = 93407003872/116

LCM = 805232792

Thus, we can understand that the LCM of 344,406,754,887 is 805232792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 406, 754, 887

1. What is the LCM of 344, 406, 754, 887?

Answer: LCM of 344, 406, 754, 887 is 805232792.

2. How to calculate the LCM of 344, 406, 754, 887?

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 344, 406, 754, 887.

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}.