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LCM of 504, 374, 264, 683, 276

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


Find the LCM of 504, 374, 264, 683, 276 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 504, 374, 264, 683, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,374,264,683,276

Given numbers are 504,374,264,683,276

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

The LCM of 504,374,264,683,276 is 1480541832.

Find LCM of 504,374,264,683,276 with Prime Factorization


2 504, 374, 264, 683, 276
2 252, 187, 132, 683, 138
2 126, 187, 66, 683, 69
3 63, 187, 33, 683, 69
11 21, 187, 11, 683, 23
21, 17, 1, 683, 23

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

2 x 2 x 2 x 3 x 11 x 21 x 17 x 1 x 683 x 23 = 1480541832

Therefore, the lowest common multiple of 504,374,264,683,276 is 1480541832.

LCM Formula to Find Lowest Common Multiple of 504,374,264,683,276

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.

504 x 374 x 264 x 683 x 276 = 9380713047552

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

374 : 1, 2, 11, 17, 22, 34, 187, 374

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

683 : 1, 683

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,374,264,683,276, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

374:2x 11x 17

264:2x 2x 2x 3x 11

683:683

276:2x 2x 3x 23

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 2x 2x 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 9380713047552/(1x6336)

LCM = 9380713047552/6336

LCM = 1480541832

Thus, we can understand that the LCM of 504,374,264,683,276 is 1480541832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 374, 264, 683, 276

1. What is the LCM of 504, 374, 264, 683, 276?

Answer: LCM of 504, 374, 264, 683, 276 is 1480541832.

2. How to calculate the LCM of 504, 374, 264, 683, 276?

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 504, 374, 264, 683, 276.

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}.