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LCM of 629, 390, 121, 478, 734

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


Find the LCM of 629, 390, 121, 478, 734 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, 390, 121, 478, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,390,121,478,734

Given numbers are 629,390,121,478,734

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

The LCM of 629,390,121,478,734 is 2603541999630.

Find LCM of 629,390,121,478,734 with Prime Factorization


2 629, 390, 121, 478, 734
629, 195, 121, 239, 367

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

2 x 629 x 195 x 121 x 239 x 367 = 2603541999630

Therefore, the lowest common multiple of 629,390,121,478,734 is 2603541999630.

LCM Formula to Find Lowest Common Multiple of 629,390,121,478,734

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 390 x 121 x 478 x 734 = 10414167998520

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

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

121 : 1, 11, 121

478 : 1, 2, 239, 478

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,390,121,478,734, is 1.

Now, the common factors can be found like this.

629:17x 37

390:2x 3x 5x 13

121:11x 11

478:2x 239

734:2x 367

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10414167998520/(1x4)

LCM = 10414167998520/4

LCM = 2603541999630

Thus, we can understand that the LCM of 629,390,121,478,734 is 2603541999630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 390, 121, 478, 734

1. What is the LCM of 629, 390, 121, 478, 734?

Answer: LCM of 629, 390, 121, 478, 734 is 2603541999630.

2. How to calculate the LCM of 629, 390, 121, 478, 734?

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, 390, 121, 478, 734.

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}.