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LCM of 727, 728, 714, 358

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


Find the LCM of 727, 728, 714, 358 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 727, 728, 714, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 727,728,714,358

Given numbers are 727,728,714,358

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

The LCM of 727,728,714,358 is 4831578024.

Find LCM of 727,728,714,358 with Prime Factorization


2 727, 728, 714, 358
7 727, 364, 357, 179
727, 52, 51, 179

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

2 x 7 x 727 x 52 x 51 x 179 = 4831578024

Therefore, the lowest common multiple of 727,728,714,358 is 4831578024.

LCM Formula to Find Lowest Common Multiple of 727,728,714,358

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.

727 x 728 x 714 x 358 = 135284184672

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.

727 : 1, 727

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

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,728,714,358, is 1.

Now, the common factors can be found like this.

727:727

728:2x 2x 2x 7x 13

714:2x 3x 7x 17

358:2x 179

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 7 = 28

Therefore, the value for common factors is 28.

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 = 135284184672/(1x28)

LCM = 135284184672/28

LCM = 4831578024

Thus, we can understand that the LCM of 727,728,714,358 is 4831578024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 727, 728, 714, 358

1. What is the LCM of 727, 728, 714, 358?

Answer: LCM of 727, 728, 714, 358 is 4831578024.

2. How to calculate the LCM of 727, 728, 714, 358?

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 727, 728, 714, 358.

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}.