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LCM of 382, 858, 518, 782, 684

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


Find the LCM of 382, 858, 518, 782, 684 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 382, 858, 518, 782, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,858,518,782,684

Given numbers are 382,858,518,782,684

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

The LCM of 382,858,518,782,684 is 1891916774748.

Find LCM of 382,858,518,782,684 with Prime Factorization


2 382, 858, 518, 782, 684
3 191, 429, 259, 391, 342
191, 143, 259, 391, 114

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

2 x 3 x 191 x 143 x 259 x 391 x 114 = 1891916774748

Therefore, the lowest common multiple of 382,858,518,782,684 is 1891916774748.

LCM Formula to Find Lowest Common Multiple of 382,858,518,782,684

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.

382 x 858 x 518 x 782 x 684 = 90812005187904

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.

382 : 1, 2, 191, 382

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

518 : 1, 2, 7, 14, 37, 74, 259, 518

782 : 1, 2, 17, 23, 34, 46, 391, 782

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,858,518,782,684, is 2.

Now, the common factors can be found like this.

382:2x 191

858:2x 3x 11x 13

518:2x 7x 37

782:2x 17x 23

684:2x 2x 3x 3x 19

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 90812005187904/(2x24)

LCM = 90812005187904/48

LCM = 1891916774748

Thus, we can understand that the LCM of 382,858,518,782,684 is 1891916774748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 858, 518, 782, 684

1. What is the LCM of 382, 858, 518, 782, 684?

Answer: LCM of 382, 858, 518, 782, 684 is 1891916774748.

2. How to calculate the LCM of 382, 858, 518, 782, 684?

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 382, 858, 518, 782, 684.

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}.