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LCM of 832, 504, 739, 504

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


Find the LCM of 832, 504, 739, 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 832, 504, 739, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,504,739,504

Given numbers are 832,504,739,504

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

The LCM of 832,504,739,504 is 38735424.

Find LCM of 832,504,739,504 with Prime Factorization


2 832, 504, 739, 504
2 416, 252, 739, 252
2 208, 126, 739, 126
3 104, 63, 739, 63
3 104, 21, 739, 21
7 104, 7, 739, 7
104, 1, 739, 1

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

2 x 2 x 2 x 3 x 3 x 7 x 104 x 1 x 739 x 1 = 38735424

Therefore, the lowest common multiple of 832,504,739,504 is 38735424.

LCM Formula to Find Lowest Common Multiple of 832,504,739,504

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.

832 x 504 x 739 x 504 = 156181229568

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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

739 : 1, 739

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 832,504,739,504, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

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

739:739

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 2x 2x 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 156181229568/(1x4032)

LCM = 156181229568/4032

LCM = 38735424

Thus, we can understand that the LCM of 832,504,739,504 is 38735424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 504, 739, 504

1. What is the LCM of 832, 504, 739, 504?

Answer: LCM of 832, 504, 739, 504 is 38735424.

2. How to calculate the LCM of 832, 504, 739, 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 832, 504, 739, 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}.