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LCM of 504, 116, 596, 203

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


Find the LCM of 504, 116, 596, 203 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 504, 116, 596, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,116,596,203

Given numbers are 504,116,596,203

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

The LCM of 504,116,596,203 is 2177784.

Find LCM of 504,116,596,203 with Prime Factorization


2 504, 116, 596, 203
2 252, 58, 298, 203
7 126, 29, 149, 203
29 18, 29, 149, 29
18, 1, 149, 1

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

2 x 2 x 7 x 29 x 18 x 1 x 149 x 1 = 2177784

Therefore, the lowest common multiple of 504,116,596,203 is 2177784.

LCM Formula to Find Lowest Common Multiple of 504,116,596,203

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.

504 x 116 x 596 x 203 = 7073442432

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.

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

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

596 : 1, 2, 4, 149, 298, 596

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,116,596,203, is 1.

Now, the common factors can be found like this.

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

116:2x 2x 29

596:2x 2x 149

203:7x 29

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 7x 29 = 3248

Therefore, the value for common factors is 3248.

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 = 7073442432/(1x3248)

LCM = 7073442432/3248

LCM = 2177784

Thus, we can understand that the LCM of 504,116,596,203 is 2177784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 116, 596, 203

1. What is the LCM of 504, 116, 596, 203?

Answer: LCM of 504, 116, 596, 203 is 2177784.

2. How to calculate the LCM of 504, 116, 596, 203?

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 504, 116, 596, 203.

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}.