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LCM of 739, 814, 451, 504

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


Find the LCM of 739, 814, 451, 504 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 739, 814, 451, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 739,814,451,504

Given numbers are 739,814,451,504

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

The LCM of 739,814,451,504 is 6215173272.

Find LCM of 739,814,451,504 with Prime Factorization


2 739, 814, 451, 504
11 739, 407, 451, 252
739, 37, 41, 252

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

2 x 11 x 739 x 37 x 41 x 252 = 6215173272

Therefore, the lowest common multiple of 739,814,451,504 is 6215173272.

LCM Formula to Find Lowest Common Multiple of 739,814,451,504

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.

739 x 814 x 451 x 504 = 136733811984

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.

739 : 1, 739

814 : 1, 2, 11, 22, 37, 74, 407, 814

451 : 1, 11, 41, 451

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,814,451,504, is 1.

Now, the common factors can be found like this.

739:739

814:2x 11x 37

451:11x 41

504:2x 2x 2x 3x 3x 7

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 136733811984/(1x22)

LCM = 136733811984/22

LCM = 6215173272

Thus, we can understand that the LCM of 739,814,451,504 is 6215173272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 739, 814, 451, 504

1. What is the LCM of 739, 814, 451, 504?

Answer: LCM of 739, 814, 451, 504 is 6215173272.

2. How to calculate the LCM of 739, 814, 451, 504?

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 739, 814, 451, 504.

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}.