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LCM of 733, 758, 407, 504

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


Find the LCM of 733, 758, 407, 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 733, 758, 407, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 733,758,407,504

Given numbers are 733,758,407,504

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

The LCM of 733,758,407,504 is 56985994296.

Find LCM of 733,758,407,504 with Prime Factorization


2 733, 758, 407, 504
733, 379, 407, 252

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

2 x 733 x 379 x 407 x 252 = 56985994296

Therefore, the lowest common multiple of 733,758,407,504 is 56985994296.

LCM Formula to Find Lowest Common Multiple of 733,758,407,504

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.

733 x 758 x 407 x 504 = 113971988592

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.

733 : 1, 733

758 : 1, 2, 379, 758

407 : 1, 11, 37, 407

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 733,758,407,504, is 1.

Now, the common factors can be found like this.

733:733

758:2x 379

407:11x 37

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 113971988592/(1x2)

LCM = 113971988592/2

LCM = 56985994296

Thus, we can understand that the LCM of 733,758,407,504 is 56985994296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 733, 758, 407, 504

1. What is the LCM of 733, 758, 407, 504?

Answer: LCM of 733, 758, 407, 504 is 56985994296.

2. How to calculate the LCM of 733, 758, 407, 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 733, 758, 407, 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}.