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LCM of 276, 759, 498, 235

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


Find the LCM of 276, 759, 498, 235 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, 759, 498, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 276,759,498,235

Given numbers are 276,759,498,235

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

The LCM of 276,759,498,235 is 59217180.

Find LCM of 276,759,498,235 with Prime Factorization


2 276, 759, 498, 235
3 138, 759, 249, 235
23 46, 253, 83, 235
2, 11, 83, 235

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

2 x 3 x 23 x 2 x 11 x 83 x 235 = 59217180

Therefore, the lowest common multiple of 276,759,498,235 is 59217180.

LCM Formula to Find Lowest Common Multiple of 276,759,498,235

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 759 x 498 x 235 = 24515912520

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

759 : 1, 3, 11, 23, 33, 69, 253, 759

498 : 1, 2, 3, 6, 83, 166, 249, 498

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,759,498,235, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

759:3x 11x 23

498:2x 3x 83

235:5x 47

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 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 24515912520/(1x414)

LCM = 24515912520/414

LCM = 59217180

Thus, we can understand that the LCM of 276,759,498,235 is 59217180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 276, 759, 498, 235

1. What is the LCM of 276, 759, 498, 235?

Answer: LCM of 276, 759, 498, 235 is 59217180.

2. How to calculate the LCM of 276, 759, 498, 235?

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, 759, 498, 235.

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}.