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LCM of 138, 506, 295, 429

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


Find the LCM of 138, 506, 295, 429 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 138, 506, 295, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,506,295,429

Given numbers are 138,506,295,429

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

The LCM of 138,506,295,429 is 5821530.

Find LCM of 138,506,295,429 with Prime Factorization


2 138, 506, 295, 429
3 69, 253, 295, 429
11 23, 253, 295, 143
23 23, 23, 295, 13
1, 1, 295, 13

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

2 x 3 x 11 x 23 x 1 x 1 x 295 x 13 = 5821530

Therefore, the lowest common multiple of 138,506,295,429 is 5821530.

LCM Formula to Find Lowest Common Multiple of 138,506,295,429

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.

138 x 506 x 295 x 429 = 8837082540

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

506 : 1, 2, 11, 22, 23, 46, 253, 506

295 : 1, 5, 59, 295

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,506,295,429, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

506:2x 11x 23

295:5x 59

429:3x 11x 13

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 11x 23 = 1518

Therefore, the value for common factors is 1518.

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 = 8837082540/(1x1518)

LCM = 8837082540/1518

LCM = 5821530

Thus, we can understand that the LCM of 138,506,295,429 is 5821530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 506, 295, 429

1. What is the LCM of 138, 506, 295, 429?

Answer: LCM of 138, 506, 295, 429 is 5821530.

2. How to calculate the LCM of 138, 506, 295, 429?

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 138, 506, 295, 429.

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}.