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LCM of 528, 782, 696, 420

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


Find the LCM of 528, 782, 696, 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 528, 782, 696, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,782,696,420

Given numbers are 528,782,696,420

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

The LCM of 528,782,696,420 is 209544720.

Find LCM of 528,782,696,420 with Prime Factorization


2 528, 782, 696, 420
2 264, 391, 348, 210
2 132, 391, 174, 105
3 66, 391, 87, 105
22, 391, 29, 35

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

2 x 2 x 2 x 3 x 22 x 391 x 29 x 35 = 209544720

Therefore, the lowest common multiple of 528,782,696,420 is 209544720.

LCM Formula to Find Lowest Common Multiple of 528,782,696,420

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.

528 x 782 x 696 x 420 = 120697758720

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,782,696,420, is 2.

Now, the common factors can be found like this.

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

782:2x 17x 23

696:2x 2x 2x 3x 29

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 120697758720/(2x288)

LCM = 120697758720/576

LCM = 209544720

Thus, we can understand that the LCM of 528,782,696,420 is 209544720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 782, 696, 420

1. What is the LCM of 528, 782, 696, 420?

Answer: LCM of 528, 782, 696, 420 is 209544720.

2. How to calculate the LCM of 528, 782, 696, 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 528, 782, 696, 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}.