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LCM of 548, 611, 808, 420

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


Find the LCM of 548, 611, 808, 420 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 548, 611, 808, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,611,808,420

Given numbers are 548,611,808,420

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

The LCM of 548,611,808,420 is 7101701880.

Find LCM of 548,611,808,420 with Prime Factorization


2 548, 611, 808, 420
2 274, 611, 404, 210
137, 611, 202, 105

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

2 x 2 x 137 x 611 x 202 x 105 = 7101701880

Therefore, the lowest common multiple of 548,611,808,420 is 7101701880.

LCM Formula to Find Lowest Common Multiple of 548,611,808,420

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.

548 x 611 x 808 x 420 = 113627230080

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.

548 : 1, 2, 4, 137, 274, 548

611 : 1, 13, 47, 611

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,611,808,420, is 1.

Now, the common factors can be found like this.

548:2x 2x 137

611:13x 47

808:2x 2x 2x 101

420:2x 2x 3x 5x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 113627230080/(1x16)

LCM = 113627230080/16

LCM = 7101701880

Thus, we can understand that the LCM of 548,611,808,420 is 7101701880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 611, 808, 420

1. What is the LCM of 548, 611, 808, 420?

Answer: LCM of 548, 611, 808, 420 is 7101701880.

2. How to calculate the LCM of 548, 611, 808, 420?

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 548, 611, 808, 420.

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}.