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LCM of 629, 791, 335, 113, 523

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


Find the LCM of 629, 791, 335, 113, 523 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 629, 791, 335, 113, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,791,335,113,523

Given numbers are 629,791,335,113,523

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

The LCM of 629,791,335,113,523 is 87171320495.

Find LCM of 629,791,335,113,523 with Prime Factorization


113 629, 791, 335, 113, 523
629, 7, 335, 1, 523

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

113 x 629 x 7 x 335 x 1 x 523 = 87171320495

Therefore, the lowest common multiple of 629,791,335,113,523 is 87171320495.

LCM Formula to Find Lowest Common Multiple of 629,791,335,113,523

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.

629 x 791 x 335 x 113 x 523 = 9850359215935

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.

629 : 1, 17, 37, 629

791 : 1, 7, 113, 791

335 : 1, 5, 67, 335

113 : 1, 113

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,791,335,113,523, is 1.

Now, the common factors can be found like this.

629:17x 37

791:7x 113

335:5x 67

113:113

523:523

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

113 = 113

Therefore, the value for common factors is 113.

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 = 9850359215935/(1x113)

LCM = 9850359215935/113

LCM = 87171320495

Thus, we can understand that the LCM of 629,791,335,113,523 is 87171320495.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 791, 335, 113, 523

1. What is the LCM of 629, 791, 335, 113, 523?

Answer: LCM of 629, 791, 335, 113, 523 is 87171320495.

2. How to calculate the LCM of 629, 791, 335, 113, 523?

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 629, 791, 335, 113, 523.

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}.