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LCM of 599, 567, 429, 741

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


Find the LCM of 599, 567, 429, 741 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 599, 567, 429, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,567,429,741

Given numbers are 599,567,429,741

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

The LCM of 599,567,429,741 is 922782861.

Find LCM of 599,567,429,741 with Prime Factorization


3 599, 567, 429, 741
13 599, 189, 143, 247
599, 189, 11, 19

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

3 x 13 x 599 x 189 x 11 x 19 = 922782861

Therefore, the lowest common multiple of 599,567,429,741 is 922782861.

LCM Formula to Find Lowest Common Multiple of 599,567,429,741

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.

599 x 567 x 429 x 741 = 107965594737

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.

599 : 1, 599

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

429 : 1, 3, 11, 13, 33, 39, 143, 429

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,567,429,741, is 1.

Now, the common factors can be found like this.

599:599

567:3x 3x 3x 3x 7

429:3x 11x 13

741:3x 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.

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 107965594737/(1x117)

LCM = 107965594737/117

LCM = 922782861

Thus, we can understand that the LCM of 599,567,429,741 is 922782861.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 567, 429, 741

1. What is the LCM of 599, 567, 429, 741?

Answer: LCM of 599, 567, 429, 741 is 922782861.

2. How to calculate the LCM of 599, 567, 429, 741?

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 599, 567, 429, 741.

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}.