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LCM of 703, 759, 407, 392

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


Find the LCM of 703, 759, 407, 392 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, 759, 407, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,759,407,392

Given numbers are 703,759,407,392

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

The LCM of 703,759,407,392 is 209162184.

Find LCM of 703,759,407,392 with Prime Factorization


11 703, 759, 407, 392
37 703, 69, 37, 392
19, 69, 1, 392

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

11 x 37 x 19 x 69 x 1 x 392 = 209162184

Therefore, the lowest common multiple of 703,759,407,392 is 209162184.

LCM Formula to Find Lowest Common Multiple of 703,759,407,392

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 759 x 407 x 392 = 85129008888

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

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

407 : 1, 11, 37, 407

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,759,407,392, is 1.

Now, the common factors can be found like this.

703:19x 37

759:3x 11x 23

407:11x 37

392:2x 2x 2x 7x 7

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 85129008888/(1x407)

LCM = 85129008888/407

LCM = 209162184

Thus, we can understand that the LCM of 703,759,407,392 is 209162184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 759, 407, 392

1. What is the LCM of 703, 759, 407, 392?

Answer: LCM of 703, 759, 407, 392 is 209162184.

2. How to calculate the LCM of 703, 759, 407, 392?

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, 759, 407, 392.

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}.