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LCM of 139, 774, 984, 983, 192

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


Find the LCM of 139, 774, 984, 983, 192 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 139, 774, 984, 983, 192. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,774,984,983,192

Given numbers are 139,774,984,983,192

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

The LCM of 139,774,984,983,192 is 138753233856.

Find LCM of 139,774,984,983,192 with Prime Factorization


2 139, 774, 984, 983, 192
2 139, 387, 492, 983, 96
2 139, 387, 246, 983, 48
3 139, 387, 123, 983, 24
139, 129, 41, 983, 8

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

2 x 2 x 2 x 3 x 139 x 129 x 41 x 983 x 8 = 138753233856

Therefore, the lowest common multiple of 139,774,984,983,192 is 138753233856.

LCM Formula to Find Lowest Common Multiple of 139,774,984,983,192

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.

139 x 774 x 984 x 983 x 192 = 19980465675264

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.

139 : 1, 139

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

983 : 1, 983

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,774,984,983,192, is 1.

Now, the common factors can be found like this.

139:139

774:2x 3x 3x 43

984:2x 2x 2x 3x 41

983:983

192:2x 2x 2x 2x 2x 2x 3

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 3 = 144

Therefore, the value for common factors is 144.

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 = 19980465675264/(1x144)

LCM = 19980465675264/144

LCM = 138753233856

Thus, we can understand that the LCM of 139,774,984,983,192 is 138753233856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 774, 984, 983, 192

1. What is the LCM of 139, 774, 984, 983, 192?

Answer: LCM of 139, 774, 984, 983, 192 is 138753233856.

2. How to calculate the LCM of 139, 774, 984, 983, 192?

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 139, 774, 984, 983, 192.

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}.