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LCM of 847, 654, 218, 590, 923

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


Find the LCM of 847, 654, 218, 590, 923 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 847, 654, 218, 590, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 847,654,218,590,923

Given numbers are 847,654,218,590,923

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

The LCM of 847,654,218,590,923 is 150829008330.

Find LCM of 847,654,218,590,923 with Prime Factorization


2 847, 654, 218, 590, 923
109 847, 327, 109, 295, 923
847, 3, 1, 295, 923

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

2 x 109 x 847 x 3 x 1 x 295 x 923 = 150829008330

Therefore, the lowest common multiple of 847,654,218,590,923 is 150829008330.

LCM Formula to Find Lowest Common Multiple of 847,654,218,590,923

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.

847 x 654 x 218 x 590 x 923 = 65761447631880

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.

847 : 1, 7, 11, 77, 121, 847

654 : 1, 2, 3, 6, 109, 218, 327, 654

218 : 1, 2, 109, 218

590 : 1, 2, 5, 10, 59, 118, 295, 590

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,654,218,590,923, is 1.

Now, the common factors can be found like this.

847:7x 11x 11

654:2x 3x 109

218:2x 109

590:2x 5x 59

923:13x 71

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 109 = 436

Therefore, the value for common factors is 436.

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 = 65761447631880/(1x436)

LCM = 65761447631880/436

LCM = 150829008330

Thus, we can understand that the LCM of 847,654,218,590,923 is 150829008330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 847, 654, 218, 590, 923

1. What is the LCM of 847, 654, 218, 590, 923?

Answer: LCM of 847, 654, 218, 590, 923 is 150829008330.

2. How to calculate the LCM of 847, 654, 218, 590, 923?

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 847, 654, 218, 590, 923.

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}.