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LCM of 429, 104, 210

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


Find the LCM of 429, 104, 210 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, 104, 210. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,104,210

Given numbers are 429,104,210

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

The LCM of 429,104,210 is 120120.

Find LCM of 429,104,210 with Prime Factorization


2 429, 104, 210
3 429, 52, 105
13 143, 52, 35
11, 4, 35

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

2 x 3 x 13 x 11 x 4 x 35 = 120120

Therefore, the lowest common multiple of 429,104,210 is 120120.

LCM Formula to Find Lowest Common Multiple of 429,104,210

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 104 x 210 = 9369360

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,104,210, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

104:2x 2x 2x 13

210:2x 3x 5x 7

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 13 = 78

Therefore, the value for common factors is 78.

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 = 9369360/(1x78)

LCM = 9369360/78

LCM = 120120

Thus, we can understand that the LCM of 429,104,210 is 120120.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 429, 104, 210

1. What is the LCM of 429, 104, 210?

Answer: LCM of 429, 104, 210 is 120120.

2. How to calculate the LCM of 429, 104, 210?

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, 104, 210.

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}.