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LCM of 528, 961, 949, 806, 154

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


Find the LCM of 528, 961, 949, 806, 154 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, 961, 949, 806, 154. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 528,961,949,806,154

Given numbers are 528,961,949,806,154

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

The LCM of 528,961,949,806,154 is 3370711344.

Find LCM of 528,961,949,806,154 with Prime Factorization


2 528, 961, 949, 806, 154
11 264, 961, 949, 403, 77
13 24, 961, 949, 403, 7
31 24, 961, 73, 31, 7
24, 1, 73, 31, 7

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

2 x 11 x 13 x 31 x 24 x 1 x 73 x 31 x 7 = 3370711344

Therefore, the lowest common multiple of 528,961,949,806,154 is 3370711344.

LCM Formula to Find Lowest Common Multiple of 528,961,949,806,154

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 961 x 949 x 806 x 154 = 59769453551808

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

961 : 1, 31, 961

949 : 1, 13, 73, 949

806 : 1, 2, 13, 26, 31, 62, 403, 806

154 : 1, 2, 7, 11, 14, 22, 77, 154

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,961,949,806,154, is 1.

Now, the common factors can be found like this.

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

961:31x 31

949:13x 73

806:2x 13x 31

154:2x 7x 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 11x 13x 31 = 17732

Therefore, the value for common factors is 17732.

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 = 59769453551808/(1x17732)

LCM = 59769453551808/17732

LCM = 3370711344

Thus, we can understand that the LCM of 528,961,949,806,154 is 3370711344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 528, 961, 949, 806, 154

1. What is the LCM of 528, 961, 949, 806, 154?

Answer: LCM of 528, 961, 949, 806, 154 is 3370711344.

2. How to calculate the LCM of 528, 961, 949, 806, 154?

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, 961, 949, 806, 154.

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}.