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LCM of 238, 276, 506, 532

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


Find the LCM of 238, 276, 506, 532 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 238, 276, 506, 532. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 238,276,506,532

Given numbers are 238,276,506,532

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

The LCM of 238,276,506,532 is 6864396.

Find LCM of 238,276,506,532 with Prime Factorization


2 238, 276, 506, 532
2 119, 138, 253, 266
7 119, 69, 253, 133
23 17, 69, 253, 19
17, 3, 11, 19

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

2 x 2 x 7 x 23 x 17 x 3 x 11 x 19 = 6864396

Therefore, the lowest common multiple of 238,276,506,532 is 6864396.

LCM Formula to Find Lowest Common Multiple of 238,276,506,532

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.

238 x 276 x 506 x 532 = 17682684096

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

506 : 1, 2, 11, 22, 23, 46, 253, 506

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,276,506,532, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

276:2x 2x 3x 23

506:2x 11x 23

532:2x 2x 7x 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 7x 23 = 1288

Therefore, the value for common factors is 1288.

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 = 17682684096/(2x1288)

LCM = 17682684096/2576

LCM = 6864396

Thus, we can understand that the LCM of 238,276,506,532 is 6864396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 238, 276, 506, 532

1. What is the LCM of 238, 276, 506, 532?

Answer: LCM of 238, 276, 506, 532 is 6864396.

2. How to calculate the LCM of 238, 276, 506, 532?

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 238, 276, 506, 532.

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}.