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LCM of 138, 655, 393, 921, 981

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


Find the LCM of 138, 655, 393, 921, 981 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 138, 655, 393, 921, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,655,393,921,981

Given numbers are 138,655,393,921,981

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

The LCM of 138,655,393,921,981 is 9074161710.

Find LCM of 138,655,393,921,981 with Prime Factorization


3 138, 655, 393, 921, 981
131 46, 655, 131, 307, 327
46, 5, 1, 307, 327

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

3 x 131 x 46 x 5 x 1 x 307 x 327 = 9074161710

Therefore, the lowest common multiple of 138,655,393,921,981 is 9074161710.

LCM Formula to Find Lowest Common Multiple of 138,655,393,921,981

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.

138 x 655 x 393 x 921 x 981 = 32095309968270

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

655 : 1, 5, 131, 655

393 : 1, 3, 131, 393

921 : 1, 3, 307, 921

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,655,393,921,981, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

655:5x 131

393:3x 131

921:3x 307

981:3x 3x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 131 = 3537

Therefore, the value for common factors is 3537.

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 = 32095309968270/(1x3537)

LCM = 32095309968270/3537

LCM = 9074161710

Thus, we can understand that the LCM of 138,655,393,921,981 is 9074161710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 655, 393, 921, 981

1. What is the LCM of 138, 655, 393, 921, 981?

Answer: LCM of 138, 655, 393, 921, 981 is 9074161710.

2. How to calculate the LCM of 138, 655, 393, 921, 981?

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 138, 655, 393, 921, 981.

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}.