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LCM of 244, 504, 703, 592

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


Find the LCM of 244, 504, 703, 592 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 244, 504, 703, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,504,703,592

Given numbers are 244,504,703,592

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

The LCM of 244,504,703,592 is 43226064.

Find LCM of 244,504,703,592 with Prime Factorization


2 244, 504, 703, 592
2 122, 252, 703, 296
2 61, 126, 703, 148
37 61, 63, 703, 74
61, 63, 19, 2

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

2 x 2 x 2 x 37 x 61 x 63 x 19 x 2 = 43226064

Therefore, the lowest common multiple of 244,504,703,592 is 43226064.

LCM Formula to Find Lowest Common Multiple of 244,504,703,592

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.

244 x 504 x 703 x 592 = 51179659776

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

703 : 1, 19, 37, 703

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,504,703,592, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

504:2x 2x 2x 3x 3x 7

703:19x 37

592:2x 2x 2x 2x 37

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 37 = 1184

Therefore, the value for common factors is 1184.

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 = 51179659776/(1x1184)

LCM = 51179659776/1184

LCM = 43226064

Thus, we can understand that the LCM of 244,504,703,592 is 43226064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 504, 703, 592

1. What is the LCM of 244, 504, 703, 592?

Answer: LCM of 244, 504, 703, 592 is 43226064.

2. How to calculate the LCM of 244, 504, 703, 592?

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 244, 504, 703, 592.

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}.