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LCM of 429, 728, 894, 539, 774

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


Find the LCM of 429, 728, 894, 539, 774 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, 728, 894, 539, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,728,894,539,774

Given numbers are 429,728,894,539,774

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

The LCM of 429,728,894,539,774 is 3232357128.

Find LCM of 429,728,894,539,774 with Prime Factorization


2 429, 728, 894, 539, 774
3 429, 364, 447, 539, 387
7 143, 364, 149, 539, 129
11 143, 52, 149, 77, 129
13 13, 52, 149, 7, 129
1, 4, 149, 7, 129

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

2 x 3 x 7 x 11 x 13 x 1 x 4 x 149 x 7 x 129 = 3232357128

Therefore, the lowest common multiple of 429,728,894,539,774 is 3232357128.

LCM Formula to Find Lowest Common Multiple of 429,728,894,539,774

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 728 x 894 x 539 x 774 = 116481221464608

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

894 : 1, 2, 3, 6, 149, 298, 447, 894

539 : 1, 7, 11, 49, 77, 539

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,728,894,539,774, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

728:2x 2x 2x 7x 13

894:2x 3x 149

539:7x 7x 11

774:2x 3x 3x 43

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

2x 2x 3x 3x 7x 11x 13 = 36036

Therefore, the value for common factors is 36036.

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 = 116481221464608/(1x36036)

LCM = 116481221464608/36036

LCM = 3232357128

Thus, we can understand that the LCM of 429,728,894,539,774 is 3232357128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 728, 894, 539, 774

1. What is the LCM of 429, 728, 894, 539, 774?

Answer: LCM of 429, 728, 894, 539, 774 is 3232357128.

2. How to calculate the LCM of 429, 728, 894, 539, 774?

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, 728, 894, 539, 774.

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}.