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LCM of 426, 511, 727, 727

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


Find the LCM of 426, 511, 727, 727 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 426, 511, 727, 727. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 426,511,727,727

Given numbers are 426,511,727,727

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

The LCM of 426,511,727,727 is 158257722.

Find LCM of 426,511,727,727 with Prime Factorization


727 426, 511, 727, 727
426, 511, 1, 1

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

727 x 426 x 511 x 1 x 1 = 158257722

Therefore, the lowest common multiple of 426,511,727,727 is 158257722.

LCM Formula to Find Lowest Common Multiple of 426,511,727,727

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.

426 x 511 x 727 x 727 = 115053363894

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

511 : 1, 7, 73, 511

727 : 1, 727

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,511,727,727, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

511:7x 73

727:727

727:727

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

727 = 727

Therefore, the value for common factors is 727.

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 = 115053363894/(1x727)

LCM = 115053363894/727

LCM = 158257722

Thus, we can understand that the LCM of 426,511,727,727 is 158257722.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 426, 511, 727, 727

1. What is the LCM of 426, 511, 727, 727?

Answer: LCM of 426, 511, 727, 727 is 158257722.

2. How to calculate the LCM of 426, 511, 727, 727?

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 426, 511, 727, 727.

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}.