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LCM of 882, 703, 407, 598, 516

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


Find the LCM of 882, 703, 407, 598, 516 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 882, 703, 407, 598, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,703,407,598,516

Given numbers are 882,703,407,598,516

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

The LCM of 882,703,407,598,516 is 175382491284.

Find LCM of 882,703,407,598,516 with Prime Factorization


2 882, 703, 407, 598, 516
3 441, 703, 407, 299, 258
37 147, 703, 407, 299, 86
147, 19, 11, 299, 86

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

2 x 3 x 37 x 147 x 19 x 11 x 299 x 86 = 175382491284

Therefore, the lowest common multiple of 882,703,407,598,516 is 175382491284.

LCM Formula to Find Lowest Common Multiple of 882,703,407,598,516

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.

882 x 703 x 407 x 598 x 516 = 77869826130096

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

703 : 1, 19, 37, 703

407 : 1, 11, 37, 407

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,703,407,598,516, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

703:19x 37

407:11x 37

598:2x 13x 23

516:2x 2x 3x 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 2x 3x 37 = 444

Therefore, the value for common factors is 444.

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 = 77869826130096/(1x444)

LCM = 77869826130096/444

LCM = 175382491284

Thus, we can understand that the LCM of 882,703,407,598,516 is 175382491284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 703, 407, 598, 516

1. What is the LCM of 882, 703, 407, 598, 516?

Answer: LCM of 882, 703, 407, 598, 516 is 175382491284.

2. How to calculate the LCM of 882, 703, 407, 598, 516?

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 882, 703, 407, 598, 516.

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}.