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LCM of 429, 105, 684, 682

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


Find the LCM of 429, 105, 684, 682 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 429, 105, 684, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,105,684,682

Given numbers are 429,105,684,682

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

The LCM of 429,105,684,682 is 106126020.

Find LCM of 429,105,684,682 with Prime Factorization


2 429, 105, 684, 682
3 429, 105, 342, 341
11 143, 35, 114, 341
13, 35, 114, 31

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

2 x 3 x 11 x 13 x 35 x 114 x 31 = 106126020

Therefore, the lowest common multiple of 429,105,684,682 is 106126020.

LCM Formula to Find Lowest Common Multiple of 429,105,684,682

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.

429 x 105 x 684 x 682 = 21012951960

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

105 : 1, 3, 5, 7, 15, 21, 35, 105

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,105,684,682, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

105:3x 5x 7

684:2x 2x 3x 3x 19

682:2x 11x 31

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 21012951960/(1x198)

LCM = 21012951960/198

LCM = 106126020

Thus, we can understand that the LCM of 429,105,684,682 is 106126020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 105, 684, 682

1. What is the LCM of 429, 105, 684, 682?

Answer: LCM of 429, 105, 684, 682 is 106126020.

2. How to calculate the LCM of 429, 105, 684, 682?

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 429, 105, 684, 682.

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}.