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LCM of 967, 988, 242, 626, 105

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


Find the LCM of 967, 988, 242, 626, 105 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 967, 988, 242, 626, 105. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,988,242,626,105

Given numbers are 967,988,242,626,105

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

The LCM of 967,988,242,626,105 is 3799289834340.

Find LCM of 967,988,242,626,105 with Prime Factorization


2 967, 988, 242, 626, 105
967, 494, 121, 313, 105

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

2 x 967 x 494 x 121 x 313 x 105 = 3799289834340

Therefore, the lowest common multiple of 967,988,242,626,105 is 3799289834340.

LCM Formula to Find Lowest Common Multiple of 967,988,242,626,105

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.

967 x 988 x 242 x 626 x 105 = 15197159337360

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.

967 : 1, 967

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

242 : 1, 2, 11, 22, 121, 242

626 : 1, 2, 313, 626

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,988,242,626,105, is 1.

Now, the common factors can be found like this.

967:967

988:2x 2x 13x 19

242:2x 11x 11

626:2x 313

105:3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 15197159337360/(1x4)

LCM = 15197159337360/4

LCM = 3799289834340

Thus, we can understand that the LCM of 967,988,242,626,105 is 3799289834340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 988, 242, 626, 105

1. What is the LCM of 967, 988, 242, 626, 105?

Answer: LCM of 967, 988, 242, 626, 105 is 3799289834340.

2. How to calculate the LCM of 967, 988, 242, 626, 105?

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 967, 988, 242, 626, 105.

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}.