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LCM of 806, 668, 596, 624, 761

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


Find the LCM of 806, 668, 596, 624, 761 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 806, 668, 596, 624, 761. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,668,596,624,761

Given numbers are 806,668,596,624,761

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

The LCM of 806,668,596,624,761 is 366297268272.

Find LCM of 806,668,596,624,761 with Prime Factorization


2 806, 668, 596, 624, 761
2 403, 334, 298, 312, 761
13 403, 167, 149, 156, 761
31, 167, 149, 12, 761

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

2 x 2 x 13 x 31 x 167 x 149 x 12 x 761 = 366297268272

Therefore, the lowest common multiple of 806,668,596,624,761 is 366297268272.

LCM Formula to Find Lowest Common Multiple of 806,668,596,624,761

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.

806 x 668 x 596 x 624 x 761 = 152379663601152

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

668 : 1, 2, 4, 167, 334, 668

596 : 1, 2, 4, 149, 298, 596

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,668,596,624,761, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

668:2x 2x 167

596:2x 2x 149

624:2x 2x 2x 2x 3x 13

761:761

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 152379663601152/(1x416)

LCM = 152379663601152/416

LCM = 366297268272

Thus, we can understand that the LCM of 806,668,596,624,761 is 366297268272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 668, 596, 624, 761

1. What is the LCM of 806, 668, 596, 624, 761?

Answer: LCM of 806, 668, 596, 624, 761 is 366297268272.

2. How to calculate the LCM of 806, 668, 596, 624, 761?

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 806, 668, 596, 624, 761.

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}.