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LCM of 924, 765, 554, 440

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


Find the LCM of 924, 765, 554, 440 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 924, 765, 554, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,765,554,440

Given numbers are 924,765,554,440

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

The LCM of 924,765,554,440 is 130533480.

Find LCM of 924,765,554,440 with Prime Factorization


2 924, 765, 554, 440
2 462, 765, 277, 220
3 231, 765, 277, 110
5 77, 255, 277, 110
11 77, 51, 277, 22
7, 51, 277, 2

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

2 x 2 x 3 x 5 x 11 x 7 x 51 x 277 x 2 = 130533480

Therefore, the lowest common multiple of 924,765,554,440 is 130533480.

LCM Formula to Find Lowest Common Multiple of 924,765,554,440

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.

924 x 765 x 554 x 440 = 172304193600

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

554 : 1, 2, 277, 554

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,765,554,440, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

765:3x 3x 5x 17

554:2x 277

440:2x 2x 2x 5x 11

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 172304193600/(1x1320)

LCM = 172304193600/1320

LCM = 130533480

Thus, we can understand that the LCM of 924,765,554,440 is 130533480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 765, 554, 440

1. What is the LCM of 924, 765, 554, 440?

Answer: LCM of 924, 765, 554, 440 is 130533480.

2. How to calculate the LCM of 924, 765, 554, 440?

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 924, 765, 554, 440.

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}.