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LCM of 662, 414, 759, 429

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


Find the LCM of 662, 414, 759, 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 662, 414, 759, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,414,759,429

Given numbers are 662,414,759,429

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

The LCM of 662,414,759,429 is 19595862.

Find LCM of 662,414,759,429 with Prime Factorization


2 662, 414, 759, 429
3 331, 207, 759, 429
11 331, 69, 253, 143
23 331, 69, 23, 13
331, 3, 1, 13

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

2 x 3 x 11 x 23 x 331 x 3 x 1 x 13 = 19595862

Therefore, the lowest common multiple of 662,414,759,429 is 19595862.

LCM Formula to Find Lowest Common Multiple of 662,414,759,429

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.

662 x 414 x 759 x 429 = 89239555548

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.

662 : 1, 2, 331, 662

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

759 : 1, 3, 11, 23, 33, 69, 253, 759

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 662,414,759,429, is 1.

Now, the common factors can be found like this.

662:2x 331

414:2x 3x 3x 23

759:3x 11x 23

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 3x 11x 23 = 4554

Therefore, the value for common factors is 4554.

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 = 89239555548/(1x4554)

LCM = 89239555548/4554

LCM = 19595862

Thus, we can understand that the LCM of 662,414,759,429 is 19595862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 414, 759, 429

1. What is the LCM of 662, 414, 759, 429?

Answer: LCM of 662, 414, 759, 429 is 19595862.

2. How to calculate the LCM of 662, 414, 759, 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 662, 414, 759, 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}.