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LCM of 505, 968, 484, 437

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


Find the LCM of 505, 968, 484, 437 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 505, 968, 484, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,968,484,437

Given numbers are 505,968,484,437

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

The LCM of 505,968,484,437 is 213623080.

Find LCM of 505,968,484,437 with Prime Factorization


2 505, 968, 484, 437
2 505, 484, 242, 437
11 505, 121, 242, 437
11 505, 11, 22, 437
505, 1, 2, 437

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

2 x 2 x 11 x 11 x 505 x 1 x 2 x 437 = 213623080

Therefore, the lowest common multiple of 505,968,484,437 is 213623080.

LCM Formula to Find Lowest Common Multiple of 505,968,484,437

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.

505 x 968 x 484 x 437 = 103393570720

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.

505 : 1, 5, 101, 505

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,968,484,437, is 1.

Now, the common factors can be found like this.

505:5x 101

968:2x 2x 2x 11x 11

484:2x 2x 11x 11

437:19x 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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 103393570720/(1x484)

LCM = 103393570720/484

LCM = 213623080

Thus, we can understand that the LCM of 505,968,484,437 is 213623080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 968, 484, 437

1. What is the LCM of 505, 968, 484, 437?

Answer: LCM of 505, 968, 484, 437 is 213623080.

2. How to calculate the LCM of 505, 968, 484, 437?

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 505, 968, 484, 437.

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}.