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LCM of 429, 561, 267, 151

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


Find the LCM of 429, 561, 267, 151 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, 561, 267, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,561,267,151

Given numbers are 429,561,267,151

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

The LCM of 429,561,267,151 is 98010627.

Find LCM of 429,561,267,151 with Prime Factorization


3 429, 561, 267, 151
11 143, 187, 89, 151
13, 17, 89, 151

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

3 x 11 x 13 x 17 x 89 x 151 = 98010627

Therefore, the lowest common multiple of 429,561,267,151 is 98010627.

LCM Formula to Find Lowest Common Multiple of 429,561,267,151

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 561 x 267 x 151 = 9703052073

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

267 : 1, 3, 89, 267

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,561,267,151, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

561:3x 11x 17

267:3x 89

151:151

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

3x 3x 11 = 99

Therefore, the value for common factors is 99.

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 = 9703052073/(1x99)

LCM = 9703052073/99

LCM = 98010627

Thus, we can understand that the LCM of 429,561,267,151 is 98010627.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 561, 267, 151

1. What is the LCM of 429, 561, 267, 151?

Answer: LCM of 429, 561, 267, 151 is 98010627.

2. How to calculate the LCM of 429, 561, 267, 151?

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, 561, 267, 151.

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}.