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LCM of 109, 988, 312, 662

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


Find the LCM of 109, 988, 312, 662 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 109, 988, 312, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,988,312,662

Given numbers are 109,988,312,662

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

The LCM of 109,988,312,662 is 213876312.

Find LCM of 109,988,312,662 with Prime Factorization


2 109, 988, 312, 662
2 109, 494, 156, 331
13 109, 247, 78, 331
109, 19, 6, 331

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

2 x 2 x 13 x 109 x 19 x 6 x 331 = 213876312

Therefore, the lowest common multiple of 109,988,312,662 is 213876312.

LCM Formula to Find Lowest Common Multiple of 109,988,312,662

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.

109 x 988 x 312 x 662 = 22243136448

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.

109 : 1, 109

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,988,312,662, is 1.

Now, the common factors can be found like this.

109:109

988:2x 2x 13x 19

312:2x 2x 2x 3x 13

662:2x 331

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 13 = 104

Therefore, the value for common factors is 104.

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 = 22243136448/(1x104)

LCM = 22243136448/104

LCM = 213876312

Thus, we can understand that the LCM of 109,988,312,662 is 213876312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 988, 312, 662

1. What is the LCM of 109, 988, 312, 662?

Answer: LCM of 109, 988, 312, 662 is 213876312.

2. How to calculate the LCM of 109, 988, 312, 662?

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 109, 988, 312, 662.

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}.