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LCM of 609, 228, 899, 760

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


Find the LCM of 609, 228, 899, 760 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 609, 228, 899, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,228,899,760

Given numbers are 609,228,899,760

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

The LCM of 609,228,899,760 is 14348040.

Find LCM of 609,228,899,760 with Prime Factorization


2 609, 228, 899, 760
2 609, 114, 899, 380
3 609, 57, 899, 190
19 203, 19, 899, 190
29 203, 1, 899, 10
7, 1, 31, 10

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

2 x 2 x 3 x 19 x 29 x 7 x 1 x 31 x 10 = 14348040

Therefore, the lowest common multiple of 609,228,899,760 is 14348040.

LCM Formula to Find Lowest Common Multiple of 609,228,899,760

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.

609 x 228 x 899 x 760 = 94869240480

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

899 : 1, 29, 31, 899

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,228,899,760, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

228:2x 2x 3x 19

899:29x 31

760:2x 2x 2x 5x 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 3x 19x 29 = 6612

Therefore, the value for common factors is 6612.

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 = 94869240480/(1x6612)

LCM = 94869240480/6612

LCM = 14348040

Thus, we can understand that the LCM of 609,228,899,760 is 14348040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 228, 899, 760

1. What is the LCM of 609, 228, 899, 760?

Answer: LCM of 609, 228, 899, 760 is 14348040.

2. How to calculate the LCM of 609, 228, 899, 760?

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 609, 228, 899, 760.

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}.