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LCM of 830, 315, 649, 684, 546

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


Find the LCM of 830, 315, 649, 684, 546 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 830, 315, 649, 684, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,315,649,684,546

Given numbers are 830,315,649,684,546

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

The LCM of 830,315,649,684,546 is 16764487740.

Find LCM of 830,315,649,684,546 with Prime Factorization


2 830, 315, 649, 684, 546
3 415, 315, 649, 342, 273
3 415, 105, 649, 114, 91
5 415, 35, 649, 38, 91
7 83, 7, 649, 38, 91
83, 1, 649, 38, 13

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

2 x 3 x 3 x 5 x 7 x 83 x 1 x 649 x 38 x 13 = 16764487740

Therefore, the lowest common multiple of 830,315,649,684,546 is 16764487740.

LCM Formula to Find Lowest Common Multiple of 830,315,649,684,546

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.

830 x 315 x 649 x 684 x 546 = 63369763657200

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

649 : 1, 11, 59, 649

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,315,649,684,546, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

315:3x 3x 5x 7

649:11x 59

684:2x 2x 3x 3x 19

546:2x 3x 7x 13

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 3x 3x 5x 7 = 3780

Therefore, the value for common factors is 3780.

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 = 63369763657200/(1x3780)

LCM = 63369763657200/3780

LCM = 16764487740

Thus, we can understand that the LCM of 830,315,649,684,546 is 16764487740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 315, 649, 684, 546

1. What is the LCM of 830, 315, 649, 684, 546?

Answer: LCM of 830, 315, 649, 684, 546 is 16764487740.

2. How to calculate the LCM of 830, 315, 649, 684, 546?

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 830, 315, 649, 684, 546.

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}.