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LCM of 759, 147, 408, 833

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


Find the LCM of 759, 147, 408, 833 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 759, 147, 408, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 759,147,408,833

Given numbers are 759,147,408,833

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

The LCM of 759,147,408,833 is 5057976.

Find LCM of 759,147,408,833 with Prime Factorization


3 759, 147, 408, 833
7 253, 49, 136, 833
7 253, 7, 136, 119
17 253, 1, 136, 17
253, 1, 8, 1

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

3 x 7 x 7 x 17 x 253 x 1 x 8 x 1 = 5057976

Therefore, the lowest common multiple of 759,147,408,833 is 5057976.

LCM Formula to Find Lowest Common Multiple of 759,147,408,833

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.

759 x 147 x 408 x 833 = 37919646072

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

147 : 1, 3, 7, 21, 49, 147

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,147,408,833, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

147:3x 7x 7

408:2x 2x 2x 3x 17

833:7x 7x 17

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

3x 3x 7x 7x 17 = 7497

Therefore, the value for common factors is 7497.

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 = 37919646072/(1x7497)

LCM = 37919646072/7497

LCM = 5057976

Thus, we can understand that the LCM of 759,147,408,833 is 5057976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 759, 147, 408, 833

1. What is the LCM of 759, 147, 408, 833?

Answer: LCM of 759, 147, 408, 833 is 5057976.

2. How to calculate the LCM of 759, 147, 408, 833?

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 759, 147, 408, 833.

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}.