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LCM of 748, 811, 832, 884, 107

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


Find the LCM of 748, 811, 832, 884, 107 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 748, 811, 832, 884, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,811,832,884,107

Given numbers are 748,811,832,884,107

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

The LCM of 748,811,832,884,107 is 13501112768.

Find LCM of 748,811,832,884,107 with Prime Factorization


2 748, 811, 832, 884, 107
2 374, 811, 416, 442, 107
13 187, 811, 208, 221, 107
17 187, 811, 16, 17, 107
11, 811, 16, 1, 107

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

2 x 2 x 13 x 17 x 11 x 811 x 16 x 1 x 107 = 13501112768

Therefore, the lowest common multiple of 748,811,832,884,107 is 13501112768.

LCM Formula to Find Lowest Common Multiple of 748,811,832,884,107

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.

748 x 811 x 832 x 884 x 107 = 47739934747648

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

811 : 1, 811

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,811,832,884,107, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

811:811

832:2x 2x 2x 2x 2x 2x 13

884:2x 2x 13x 17

107:107

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 13x 17 = 3536

Therefore, the value for common factors is 3536.

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 = 47739934747648/(1x3536)

LCM = 47739934747648/3536

LCM = 13501112768

Thus, we can understand that the LCM of 748,811,832,884,107 is 13501112768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 811, 832, 884, 107

1. What is the LCM of 748, 811, 832, 884, 107?

Answer: LCM of 748, 811, 832, 884, 107 is 13501112768.

2. How to calculate the LCM of 748, 811, 832, 884, 107?

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 748, 811, 832, 884, 107.

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}.