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LCM of 769, 551, 232, 608

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


Find the LCM of 769, 551, 232, 608 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, 551, 232, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,551,232,608

Given numbers are 769,551,232,608

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

The LCM of 769,551,232,608 is 13559008.

Find LCM of 769,551,232,608 with Prime Factorization


2 769, 551, 232, 608
2 769, 551, 116, 304
2 769, 551, 58, 152
19 769, 551, 29, 76
29 769, 29, 29, 4
769, 1, 1, 4

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

2 x 2 x 2 x 19 x 29 x 769 x 1 x 1 x 4 = 13559008

Therefore, the lowest common multiple of 769,551,232,608 is 13559008.

LCM Formula to Find Lowest Common Multiple of 769,551,232,608

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 551 x 232 x 608 = 59768107264

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

551 : 1, 19, 29, 551

232 : 1, 2, 4, 8, 29, 58, 116, 232

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,551,232,608, is 1.

Now, the common factors can be found like this.

769:769

551:19x 29

232:2x 2x 2x 29

608:2x 2x 2x 2x 2x 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 2x 19x 29 = 4408

Therefore, the value for common factors is 4408.

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 = 59768107264/(1x4408)

LCM = 59768107264/4408

LCM = 13559008

Thus, we can understand that the LCM of 769,551,232,608 is 13559008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 551, 232, 608

1. What is the LCM of 769, 551, 232, 608?

Answer: LCM of 769, 551, 232, 608 is 13559008.

2. How to calculate the LCM of 769, 551, 232, 608?

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, 551, 232, 608.

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}.