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LCM of 412, 598, 117, 703, 685

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


Find the LCM of 412, 598, 117, 703, 685 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 412, 598, 117, 703, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,598,117,703,685

Given numbers are 412,598,117,703,685

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

The LCM of 412,598,117,703,685 is 533896176060.

Find LCM of 412,598,117,703,685 with Prime Factorization


2 412, 598, 117, 703, 685
13 206, 299, 117, 703, 685
206, 23, 9, 703, 685

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

2 x 13 x 206 x 23 x 9 x 703 x 685 = 533896176060

Therefore, the lowest common multiple of 412,598,117,703,685 is 533896176060.

LCM Formula to Find Lowest Common Multiple of 412,598,117,703,685

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.

412 x 598 x 117 x 703 x 685 = 13881300577560

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.

412 : 1, 2, 4, 103, 206, 412

598 : 1, 2, 13, 23, 26, 46, 299, 598

117 : 1, 3, 9, 13, 39, 117

703 : 1, 19, 37, 703

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,598,117,703,685, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

598:2x 13x 23

117:3x 3x 13

703:19x 37

685:5x 137

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 13881300577560/(1x26)

LCM = 13881300577560/26

LCM = 533896176060

Thus, we can understand that the LCM of 412,598,117,703,685 is 533896176060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 598, 117, 703, 685

1. What is the LCM of 412, 598, 117, 703, 685?

Answer: LCM of 412, 598, 117, 703, 685 is 533896176060.

2. How to calculate the LCM of 412, 598, 117, 703, 685?

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 412, 598, 117, 703, 685.

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}.