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LCM of 138, 391, 918, 852, 269

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


Find the LCM of 138, 391, 918, 852, 269 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, 391, 918, 852, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 138,391,918,852,269

Given numbers are 138,391,918,852,269

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

The LCM of 138,391,918,852,269 is 806512572.

Find LCM of 138,391,918,852,269 with Prime Factorization


2 138, 391, 918, 852, 269
3 69, 391, 459, 426, 269
17 23, 391, 153, 142, 269
23 23, 23, 9, 142, 269
1, 1, 9, 142, 269

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

2 x 3 x 17 x 23 x 1 x 1 x 9 x 142 x 269 = 806512572

Therefore, the lowest common multiple of 138,391,918,852,269 is 806512572.

LCM Formula to Find Lowest Common Multiple of 138,391,918,852,269

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 391 x 918 x 852 x 269 = 11352470963472

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

391 : 1, 17, 23, 391

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,391,918,852,269, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

391:17x 23

918:2x 3x 3x 3x 17

852:2x 2x 3x 71

269:269

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 3x 3x 17x 23 = 14076

Therefore, the value for common factors is 14076.

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 = 11352470963472/(1x14076)

LCM = 11352470963472/14076

LCM = 806512572

Thus, we can understand that the LCM of 138,391,918,852,269 is 806512572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 138, 391, 918, 852, 269

1. What is the LCM of 138, 391, 918, 852, 269?

Answer: LCM of 138, 391, 918, 852, 269 is 806512572.

2. How to calculate the LCM of 138, 391, 918, 852, 269?

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, 391, 918, 852, 269.

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}.