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LCM of 638, 276, 338, 183, 750

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


Find the LCM of 638, 276, 338, 183, 750 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 638, 276, 338, 183, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,276,338,183,750

Given numbers are 638,276,338,183,750

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

The LCM of 638,276,338,183,750 is 113455699500.

Find LCM of 638,276,338,183,750 with Prime Factorization


2 638, 276, 338, 183, 750
3 319, 138, 169, 183, 375
319, 46, 169, 61, 125

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

2 x 3 x 319 x 46 x 169 x 61 x 125 = 113455699500

Therefore, the lowest common multiple of 638,276,338,183,750 is 113455699500.

LCM Formula to Find Lowest Common Multiple of 638,276,338,183,750

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.

638 x 276 x 338 x 183 x 750 = 8168810364000

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

338 : 1, 2, 13, 26, 169, 338

183 : 1, 3, 61, 183

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,276,338,183,750, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

276:2x 2x 3x 23

338:2x 13x 13

183:3x 61

750:2x 3x 5x 5x 5

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 3 = 72

Therefore, the value for common factors is 72.

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 = 8168810364000/(1x72)

LCM = 8168810364000/72

LCM = 113455699500

Thus, we can understand that the LCM of 638,276,338,183,750 is 113455699500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 276, 338, 183, 750

1. What is the LCM of 638, 276, 338, 183, 750?

Answer: LCM of 638, 276, 338, 183, 750 is 113455699500.

2. How to calculate the LCM of 638, 276, 338, 183, 750?

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 638, 276, 338, 183, 750.

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}.