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LCM of 110, 868, 227, 420, 541

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


Find the LCM of 110, 868, 227, 420, 541 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 110, 868, 227, 420, 541. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 110,868,227,420,541

Given numbers are 110,868,227,420,541

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

The LCM of 110,868,227,420,541 is 17588418540.

Find LCM of 110,868,227,420,541 with Prime Factorization


2 110, 868, 227, 420, 541
2 55, 434, 227, 210, 541
5 55, 217, 227, 105, 541
7 11, 217, 227, 21, 541
11, 31, 227, 3, 541

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

2 x 2 x 5 x 7 x 11 x 31 x 227 x 3 x 541 = 17588418540

Therefore, the lowest common multiple of 110,868,227,420,541 is 17588418540.

LCM Formula to Find Lowest Common Multiple of 110,868,227,420,541

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.

110 x 868 x 227 x 420 x 541 = 4924757191200

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

227 : 1, 227

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,868,227,420,541, is 1.

Now, the common factors can be found like this.

110:2x 5x 11

868:2x 2x 7x 31

227:227

420:2x 2x 3x 5x 7

541:541

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 2x 5x 7 = 280

Therefore, the value for common factors is 280.

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 = 4924757191200/(1x280)

LCM = 4924757191200/280

LCM = 17588418540

Thus, we can understand that the LCM of 110,868,227,420,541 is 17588418540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 110, 868, 227, 420, 541

1. What is the LCM of 110, 868, 227, 420, 541?

Answer: LCM of 110, 868, 227, 420, 541 is 17588418540.

2. How to calculate the LCM of 110, 868, 227, 420, 541?

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 110, 868, 227, 420, 541.

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}.