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LCM of 133, 780, 246, 312, 263

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


Find the LCM of 133, 780, 246, 312, 263 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 133, 780, 246, 312, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,780,246,312,263

Given numbers are 133,780,246,312,263

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

The LCM of 133,780,246,312,263 is 2237256840.

Find LCM of 133,780,246,312,263 with Prime Factorization


2 133, 780, 246, 312, 263
2 133, 390, 123, 156, 263
3 133, 195, 123, 78, 263
13 133, 65, 41, 26, 263
133, 5, 41, 2, 263

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

2 x 2 x 3 x 13 x 133 x 5 x 41 x 2 x 263 = 2237256840

Therefore, the lowest common multiple of 133,780,246,312,263 is 2237256840.

LCM Formula to Find Lowest Common Multiple of 133,780,246,312,263

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.

133 x 780 x 246 x 312 x 263 = 2094072402240

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.

133 : 1, 7, 19, 133

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

246 : 1, 2, 3, 6, 41, 82, 123, 246

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,780,246,312,263, is 1.

Now, the common factors can be found like this.

133:7x 19

780:2x 2x 3x 5x 13

246:2x 3x 41

312:2x 2x 2x 3x 13

263:263

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 2094072402240/(1x936)

LCM = 2094072402240/936

LCM = 2237256840

Thus, we can understand that the LCM of 133,780,246,312,263 is 2237256840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 780, 246, 312, 263

1. What is the LCM of 133, 780, 246, 312, 263?

Answer: LCM of 133, 780, 246, 312, 263 is 2237256840.

2. How to calculate the LCM of 133, 780, 246, 312, 263?

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 133, 780, 246, 312, 263.

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}.