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LCM of 220, 56, 840, 528

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


Find the LCM of 220, 56, 840, 528 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 220, 56, 840, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,56,840,528

Given numbers are 220,56,840,528

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

The LCM of 220,56,840,528 is 18480.

Find LCM of 220,56,840,528 with Prime Factorization


2 220, 56, 840, 528
2 110, 28, 420, 264
2 55, 14, 210, 132
3 55, 7, 105, 66
5 55, 7, 35, 22
7 11, 7, 7, 22
11 11, 1, 1, 22
1, 1, 1, 2

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

2 x 2 x 2 x 3 x 5 x 7 x 11 x 1 x 1 x 1 x 2 = 18480

Therefore, the lowest common multiple of 220,56,840,528 is 18480.

LCM Formula to Find Lowest Common Multiple of 220,56,840,528

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.

220 x 56 x 840 x 528 = 5464166400

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

56 : 1, 2, 4, 7, 8, 14, 28, 56

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,56,840,528, is 4.

Now, the common factors can be found like this.

220:2x 2x 5x 11

56:2x 2x 2x 7

840:2x 2x 2x 3x 5x 7

528:2x 2x 2x 2x 3x 11

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 2x 2x 2x 3x 5x 7x 11 = 73920

Therefore, the value for common factors is 73920.

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 = 5464166400/(4x73920)

LCM = 5464166400/295680

LCM = 18480

Thus, we can understand that the LCM of 220,56,840,528 is 18480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 56, 840, 528

1. What is the LCM of 220, 56, 840, 528?

Answer: LCM of 220, 56, 840, 528 is 18480.

2. How to calculate the LCM of 220, 56, 840, 528?

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 220, 56, 840, 528.

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}.