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LCM of 528, 590, 705, 307, 968

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


Find the LCM of 528, 590, 705, 307, 968 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, 590, 705, 307, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,590,705,307,968

Given numbers are 528,590,705,307,968

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

The LCM of 528,590,705,307,968 is 24722071440.

Find LCM of 528,590,705,307,968 with Prime Factorization


2 528, 590, 705, 307, 968
2 264, 295, 705, 307, 484
2 132, 295, 705, 307, 242
3 66, 295, 705, 307, 121
5 22, 295, 235, 307, 121
11 22, 59, 47, 307, 121
2, 59, 47, 307, 11

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

2 x 2 x 2 x 3 x 5 x 11 x 2 x 59 x 47 x 307 x 11 = 24722071440

Therefore, the lowest common multiple of 528,590,705,307,968 is 24722071440.

LCM Formula to Find Lowest Common Multiple of 528,590,705,307,968

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 590 x 705 x 307 x 968 = 65266268601600

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

590 : 1, 2, 5, 10, 59, 118, 295, 590

705 : 1, 3, 5, 15, 47, 141, 235, 705

307 : 1, 307

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,590,705,307,968, is 1.

Now, the common factors can be found like this.

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

590:2x 5x 59

705:3x 5x 47

307:307

968:2x 2x 2x 11x 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 3x 5x 11 = 2640

Therefore, the value for common factors is 2640.

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 = 65266268601600/(1x2640)

LCM = 65266268601600/2640

LCM = 24722071440

Thus, we can understand that the LCM of 528,590,705,307,968 is 24722071440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 590, 705, 307, 968

1. What is the LCM of 528, 590, 705, 307, 968?

Answer: LCM of 528, 590, 705, 307, 968 is 24722071440.

2. How to calculate the LCM of 528, 590, 705, 307, 968?

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, 590, 705, 307, 968.

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}.