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LCM of 528, 492, 420, 886

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


Find the LCM of 528, 492, 420, 886 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 528, 492, 420, 886. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,492,420,886

Given numbers are 528,492,420,886

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

The LCM of 528,492,420,886 is 335652240.

Find LCM of 528,492,420,886 with Prime Factorization


2 528, 492, 420, 886
2 264, 246, 210, 443
3 132, 123, 105, 443
44, 41, 35, 443

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

2 x 2 x 3 x 44 x 41 x 35 x 443 = 335652240

Therefore, the lowest common multiple of 528,492,420,886 is 335652240.

LCM Formula to Find Lowest Common Multiple of 528,492,420,886

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.

528 x 492 x 420 x 886 = 96667845120

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.

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

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

886 : 1, 2, 443, 886

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,492,420,886, is 2.

Now, the common factors can be found like this.

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

492:2x 2x 3x 41

420:2x 2x 3x 5x 7

886:2x 443

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 96667845120/(2x144)

LCM = 96667845120/288

LCM = 335652240

Thus, we can understand that the LCM of 528,492,420,886 is 335652240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 492, 420, 886

1. What is the LCM of 528, 492, 420, 886?

Answer: LCM of 528, 492, 420, 886 is 335652240.

2. How to calculate the LCM of 528, 492, 420, 886?

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 528, 492, 420, 886.

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}.