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LCM of 429, 638, 694, 684

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


Find the LCM of 429, 638, 694, 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 429, 638, 694, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,638,694,684

Given numbers are 429,638,694,684

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

The LCM of 429,638,694,684 is 984282156.

Find LCM of 429,638,694,684 with Prime Factorization


2 429, 638, 694, 684
3 429, 319, 347, 342
11 143, 319, 347, 114
13, 29, 347, 114

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

2 x 3 x 11 x 13 x 29 x 347 x 114 = 984282156

Therefore, the lowest common multiple of 429,638,694,684 is 984282156.

LCM Formula to Find Lowest Common Multiple of 429,638,694,684

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.

429 x 638 x 694 x 684 = 129925244592

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

694 : 1, 2, 347, 694

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,638,694,684, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

638:2x 11x 29

694:2x 347

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 129925244592/(1x132)

LCM = 129925244592/132

LCM = 984282156

Thus, we can understand that the LCM of 429,638,694,684 is 984282156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 638, 694, 684

1. What is the LCM of 429, 638, 694, 684?

Answer: LCM of 429, 638, 694, 684 is 984282156.

2. How to calculate the LCM of 429, 638, 694, 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 429, 638, 694, 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}.