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LCM of 276, 502, 381, 111

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


Find the LCM of 276, 502, 381, 111 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 276, 502, 381, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,502,381,111

Given numbers are 276,502,381,111

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

The LCM of 276,502,381,111 is 325527924.

Find LCM of 276,502,381,111 with Prime Factorization


2 276, 502, 381, 111
3 138, 251, 381, 111
46, 251, 127, 37

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

2 x 3 x 46 x 251 x 127 x 37 = 325527924

Therefore, the lowest common multiple of 276,502,381,111 is 325527924.

LCM Formula to Find Lowest Common Multiple of 276,502,381,111

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.

276 x 502 x 381 x 111 = 5859502632

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

502 : 1, 2, 251, 502

381 : 1, 3, 127, 381

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,502,381,111, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

502:2x 251

381:3x 127

111:3x 37

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5859502632/(1x18)

LCM = 5859502632/18

LCM = 325527924

Thus, we can understand that the LCM of 276,502,381,111 is 325527924.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 502, 381, 111

1. What is the LCM of 276, 502, 381, 111?

Answer: LCM of 276, 502, 381, 111 is 325527924.

2. How to calculate the LCM of 276, 502, 381, 111?

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 276, 502, 381, 111.

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}.