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LCM of 833, 407, 757, 704

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


Find the LCM of 833, 407, 757, 704 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 833, 407, 757, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 833,407,757,704

Given numbers are 833,407,757,704

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

The LCM of 833,407,757,704 is 16425373888.

Find LCM of 833,407,757,704 with Prime Factorization


11 833, 407, 757, 704
833, 37, 757, 64

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

11 x 833 x 37 x 757 x 64 = 16425373888

Therefore, the lowest common multiple of 833,407,757,704 is 16425373888.

LCM Formula to Find Lowest Common Multiple of 833,407,757,704

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.

833 x 407 x 757 x 704 = 180679112768

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.

833 : 1, 7, 17, 49, 119, 833

407 : 1, 11, 37, 407

757 : 1, 757

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,407,757,704, is 1.

Now, the common factors can be found like this.

833:7x 7x 17

407:11x 37

757:757

704:2x 2x 2x 2x 2x 2x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 180679112768/(1x11)

LCM = 180679112768/11

LCM = 16425373888

Thus, we can understand that the LCM of 833,407,757,704 is 16425373888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 833, 407, 757, 704

1. What is the LCM of 833, 407, 757, 704?

Answer: LCM of 833, 407, 757, 704 is 16425373888.

2. How to calculate the LCM of 833, 407, 757, 704?

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 833, 407, 757, 704.

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}.