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LCM of 523, 187, 850, 948, 372

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


Find the LCM of 523, 187, 850, 948, 372 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 523, 187, 850, 948, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,187,850,948,372

Given numbers are 523,187,850,948,372

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

The LCM of 523,187,850,948,372 is 71854394700.

Find LCM of 523,187,850,948,372 with Prime Factorization


2 523, 187, 850, 948, 372
2 523, 187, 425, 474, 186
3 523, 187, 425, 237, 93
17 523, 187, 425, 79, 31
523, 11, 25, 79, 31

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

2 x 2 x 3 x 17 x 523 x 11 x 25 x 79 x 31 = 71854394700

Therefore, the lowest common multiple of 523,187,850,948,372 is 71854394700.

LCM Formula to Find Lowest Common Multiple of 523,187,850,948,372

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.

523 x 187 x 850 x 948 x 372 = 29316593037600

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.

523 : 1, 523

187 : 1, 11, 17, 187

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,187,850,948,372, is 1.

Now, the common factors can be found like this.

523:523

187:11x 17

850:2x 5x 5x 17

948:2x 2x 3x 79

372:2x 2x 3x 31

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 17 = 408

Therefore, the value for common factors is 408.

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 = 29316593037600/(1x408)

LCM = 29316593037600/408

LCM = 71854394700

Thus, we can understand that the LCM of 523,187,850,948,372 is 71854394700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 187, 850, 948, 372

1. What is the LCM of 523, 187, 850, 948, 372?

Answer: LCM of 523, 187, 850, 948, 372 is 71854394700.

2. How to calculate the LCM of 523, 187, 850, 948, 372?

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 523, 187, 850, 948, 372.

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}.