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LCM of 668, 994, 648, 749, 810

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


Find the LCM of 668, 994, 648, 749, 810 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 668, 994, 648, 749, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,994,648,749,810

Given numbers are 668,994,648,749,810

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

The LCM of 668,994,648,749,810 is 28774093320.

Find LCM of 668,994,648,749,810 with Prime Factorization


2 668, 994, 648, 749, 810
2 334, 497, 324, 749, 405
3 167, 497, 162, 749, 405
3 167, 497, 54, 749, 135
3 167, 497, 18, 749, 45
3 167, 497, 6, 749, 15
7 167, 497, 2, 749, 5
167, 71, 2, 107, 5

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

2 x 2 x 3 x 3 x 3 x 3 x 7 x 167 x 71 x 2 x 107 x 5 = 28774093320

Therefore, the lowest common multiple of 668,994,648,749,810 is 28774093320.

LCM Formula to Find Lowest Common Multiple of 668,994,648,749,810

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.

668 x 994 x 648 x 749 x 810 = 261038574599040

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.

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

994 : 1, 2, 7, 14, 71, 142, 497, 994

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

749 : 1, 7, 107, 749

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,994,648,749,810, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

994:2x 7x 71

648:2x 2x 2x 3x 3x 3x 3

749:7x 107

810:2x 3x 3x 3x 3x 5

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 3x 3x 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 261038574599040/(1x9072)

LCM = 261038574599040/9072

LCM = 28774093320

Thus, we can understand that the LCM of 668,994,648,749,810 is 28774093320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 994, 648, 749, 810

1. What is the LCM of 668, 994, 648, 749, 810?

Answer: LCM of 668, 994, 648, 749, 810 is 28774093320.

2. How to calculate the LCM of 668, 994, 648, 749, 810?

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 668, 994, 648, 749, 810.

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}.