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LCM of 429, 863, 342, 175

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


Find the LCM of 429, 863, 342, 175 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, 863, 342, 175. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,863,342,175

Given numbers are 429,863,342,175

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

The LCM of 429,863,342,175 is 7386028650.

Find LCM of 429,863,342,175 with Prime Factorization


3 429, 863, 342, 175
143, 863, 114, 175

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

3 x 143 x 863 x 114 x 175 = 7386028650

Therefore, the lowest common multiple of 429,863,342,175 is 7386028650.

LCM Formula to Find Lowest Common Multiple of 429,863,342,175

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 863 x 342 x 175 = 22158085950

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

863 : 1, 863

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,863,342,175, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

863:863

342:2x 3x 3x 19

175:5x 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.

3 = 3

Therefore, the value for common factors is 3.

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 = 22158085950/(1x3)

LCM = 22158085950/3

LCM = 7386028650

Thus, we can understand that the LCM of 429,863,342,175 is 7386028650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 863, 342, 175

1. What is the LCM of 429, 863, 342, 175?

Answer: LCM of 429, 863, 342, 175 is 7386028650.

2. How to calculate the LCM of 429, 863, 342, 175?

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, 863, 342, 175.

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}.