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LCM of 769, 630, 828, 810, 488

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


Find the LCM of 769, 630, 828, 810, 488 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 769, 630, 828, 810, 488. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,630,828,810,488

Given numbers are 769,630,828,810,488

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

The LCM of 769,630,828,810,488 is 24469610760.

Find LCM of 769,630,828,810,488 with Prime Factorization


2 769, 630, 828, 810, 488
2 769, 315, 414, 405, 244
3 769, 315, 207, 405, 122
3 769, 105, 69, 135, 122
5 769, 35, 23, 45, 122
769, 7, 23, 9, 122

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

2 x 2 x 3 x 3 x 5 x 769 x 7 x 23 x 9 x 122 = 24469610760

Therefore, the lowest common multiple of 769,630,828,810,488 is 24469610760.

LCM Formula to Find Lowest Common Multiple of 769,630,828,810,488

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.

769 x 630 x 828 x 810 x 488 = 158563077724800

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.

769 : 1, 769

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,630,828,810,488, is 1.

Now, the common factors can be found like this.

769:769

630:2x 3x 3x 5x 7

828:2x 2x 3x 3x 23

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

488:2x 2x 2x 61

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 5 = 6480

Therefore, the value for common factors is 6480.

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 = 158563077724800/(1x6480)

LCM = 158563077724800/6480

LCM = 24469610760

Thus, we can understand that the LCM of 769,630,828,810,488 is 24469610760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 630, 828, 810, 488

1. What is the LCM of 769, 630, 828, 810, 488?

Answer: LCM of 769, 630, 828, 810, 488 is 24469610760.

2. How to calculate the LCM of 769, 630, 828, 810, 488?

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 769, 630, 828, 810, 488.

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}.