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LCM of 595, 705, 144, 866

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


Find the LCM of 595, 705, 144, 866 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 595, 705, 144, 866. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 595,705,144,866

Given numbers are 595,705,144,866

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

The LCM of 595,705,144,866 is 1743673680.

Find LCM of 595,705,144,866 with Prime Factorization


2 595, 705, 144, 866
3 595, 705, 72, 433
5 595, 235, 24, 433
119, 47, 24, 433

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

2 x 3 x 5 x 119 x 47 x 24 x 433 = 1743673680

Therefore, the lowest common multiple of 595,705,144,866 is 1743673680.

LCM Formula to Find Lowest Common Multiple of 595,705,144,866

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.

595 x 705 x 144 x 866 = 52310210400

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.

595 : 1, 5, 7, 17, 35, 85, 119, 595

705 : 1, 3, 5, 15, 47, 141, 235, 705

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

866 : 1, 2, 433, 866

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,705,144,866, is 1.

Now, the common factors can be found like this.

595:5x 7x 17

705:3x 5x 47

144:2x 2x 2x 2x 3x 3

866:2x 433

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

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 52310210400/(1x30)

LCM = 52310210400/30

LCM = 1743673680

Thus, we can understand that the LCM of 595,705,144,866 is 1743673680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 595, 705, 144, 866

1. What is the LCM of 595, 705, 144, 866?

Answer: LCM of 595, 705, 144, 866 is 1743673680.

2. How to calculate the LCM of 595, 705, 144, 866?

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 595, 705, 144, 866.

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}.