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LCM of 537, 119, 230, 345

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


Find the LCM of 537, 119, 230, 345 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 537, 119, 230, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,119,230,345

Given numbers are 537,119,230,345

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

The LCM of 537,119,230,345 is 14697690.

Find LCM of 537,119,230,345 with Prime Factorization


3 537, 119, 230, 345
5 179, 119, 230, 115
23 179, 119, 46, 23
179, 119, 2, 1

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

3 x 5 x 23 x 179 x 119 x 2 x 1 = 14697690

Therefore, the lowest common multiple of 537,119,230,345 is 14697690.

LCM Formula to Find Lowest Common Multiple of 537,119,230,345

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.

537 x 119 x 230 x 345 = 5070703050

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.

537 : 1, 3, 179, 537

119 : 1, 7, 17, 119

230 : 1, 2, 5, 10, 23, 46, 115, 230

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,119,230,345, is 1.

Now, the common factors can be found like this.

537:3x 179

119:7x 17

230:2x 5x 23

345:3x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5x 23 = 345

Therefore, the value for common factors is 345.

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 = 5070703050/(1x345)

LCM = 5070703050/345

LCM = 14697690

Thus, we can understand that the LCM of 537,119,230,345 is 14697690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 119, 230, 345

1. What is the LCM of 537, 119, 230, 345?

Answer: LCM of 537, 119, 230, 345 is 14697690.

2. How to calculate the LCM of 537, 119, 230, 345?

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 537, 119, 230, 345.

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}.