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LCM of 518, 774, 366, 236

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


Find the LCM of 518, 774, 366, 236 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 518, 774, 366, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,774,366,236

Given numbers are 518,774,366,236

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

The LCM of 518,774,366,236 is 1442954268.

Find LCM of 518,774,366,236 with Prime Factorization


2 518, 774, 366, 236
3 259, 387, 183, 118
259, 129, 61, 118

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

2 x 3 x 259 x 129 x 61 x 118 = 1442954268

Therefore, the lowest common multiple of 518,774,366,236 is 1442954268.

LCM Formula to Find Lowest Common Multiple of 518,774,366,236

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.

518 x 774 x 366 x 236 = 34630902432

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

366 : 1, 2, 3, 6, 61, 122, 183, 366

236 : 1, 2, 4, 59, 118, 236

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,774,366,236, is 2.

Now, the common factors can be found like this.

518:2x 7x 37

774:2x 3x 3x 43

366:2x 3x 61

236:2x 2x 59

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 3 = 12

Therefore, the value for common factors is 12.

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 = 34630902432/(2x12)

LCM = 34630902432/24

LCM = 1442954268

Thus, we can understand that the LCM of 518,774,366,236 is 1442954268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 774, 366, 236

1. What is the LCM of 518, 774, 366, 236?

Answer: LCM of 518, 774, 366, 236 is 1442954268.

2. How to calculate the LCM of 518, 774, 366, 236?

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 518, 774, 366, 236.

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}.