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LCM of 703, 104, 754, 817

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


Find the LCM of 703, 104, 754, 817 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 703, 104, 754, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,104,754,817

Given numbers are 703,104,754,817

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

The LCM of 703,104,754,817 is 91170664.

Find LCM of 703,104,754,817 with Prime Factorization


2 703, 104, 754, 817
13 703, 52, 377, 817
19 703, 4, 29, 817
37, 4, 29, 43

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

2 x 13 x 19 x 37 x 4 x 29 x 43 = 91170664

Therefore, the lowest common multiple of 703,104,754,817 is 91170664.

LCM Formula to Find Lowest Common Multiple of 703,104,754,817

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.

703 x 104 x 754 x 817 = 45038308016

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.

703 : 1, 19, 37, 703

104 : 1, 2, 4, 8, 13, 26, 52, 104

754 : 1, 2, 13, 26, 29, 58, 377, 754

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,104,754,817, is 1.

Now, the common factors can be found like this.

703:19x 37

104:2x 2x 2x 13

754:2x 13x 29

817:19x 43

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

2x 13x 19 = 494

Therefore, the value for common factors is 494.

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 = 45038308016/(1x494)

LCM = 45038308016/494

LCM = 91170664

Thus, we can understand that the LCM of 703,104,754,817 is 91170664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 104, 754, 817

1. What is the LCM of 703, 104, 754, 817?

Answer: LCM of 703, 104, 754, 817 is 91170664.

2. How to calculate the LCM of 703, 104, 754, 817?

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 703, 104, 754, 817.

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}.