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LCM of 429, 559, 847, 506

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


Find the LCM of 429, 559, 847, 506 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, 559, 847, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,559,847,506

Given numbers are 429,559,847,506

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

The LCM of 429,559,847,506 is 65339274.

Find LCM of 429,559,847,506 with Prime Factorization


11 429, 559, 847, 506
13 39, 559, 77, 46
3, 43, 77, 46

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

11 x 13 x 3 x 43 x 77 x 46 = 65339274

Therefore, the lowest common multiple of 429,559,847,506 is 65339274.

LCM Formula to Find Lowest Common Multiple of 429,559,847,506

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 559 x 847 x 506 = 102778678002

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

559 : 1, 13, 43, 559

847 : 1, 7, 11, 77, 121, 847

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,559,847,506, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

559:13x 43

847:7x 11x 11

506:2x 11x 23

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

11x 11x 13 = 1573

Therefore, the value for common factors is 1573.

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 = 102778678002/(1x1573)

LCM = 102778678002/1573

LCM = 65339274

Thus, we can understand that the LCM of 429,559,847,506 is 65339274.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 559, 847, 506

1. What is the LCM of 429, 559, 847, 506?

Answer: LCM of 429, 559, 847, 506 is 65339274.

2. How to calculate the LCM of 429, 559, 847, 506?

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, 559, 847, 506.

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}.