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LCM of 483, 169, 622, 874, 780

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


Find the LCM of 483, 169, 622, 874, 780 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 483, 169, 622, 874, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 483,169,622,874,780

Given numbers are 483,169,622,874,780

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

The LCM of 483,169,622,874,780 is 9646678860.

Find LCM of 483,169,622,874,780 with Prime Factorization


2 483, 169, 622, 874, 780
3 483, 169, 311, 437, 390
13 161, 169, 311, 437, 130
23 161, 13, 311, 437, 10
7, 13, 311, 19, 10

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

2 x 3 x 13 x 23 x 7 x 13 x 311 x 19 x 10 = 9646678860

Therefore, the lowest common multiple of 483,169,622,874,780 is 9646678860.

LCM Formula to Find Lowest Common Multiple of 483,169,622,874,780

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.

483 x 169 x 622 x 874 x 780 = 34612283749680

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.

483 : 1, 3, 7, 21, 23, 69, 161, 483

169 : 1, 13, 169

622 : 1, 2, 311, 622

874 : 1, 2, 19, 23, 38, 46, 437, 874

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 483,169,622,874,780, is 1.

Now, the common factors can be found like this.

483:3x 7x 23

169:13x 13

622:2x 311

874:2x 19x 23

780:2x 2x 3x 5x 13

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 3x 13x 23 = 3588

Therefore, the value for common factors is 3588.

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 = 34612283749680/(1x3588)

LCM = 34612283749680/3588

LCM = 9646678860

Thus, we can understand that the LCM of 483,169,622,874,780 is 9646678860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 483, 169, 622, 874, 780

1. What is the LCM of 483, 169, 622, 874, 780?

Answer: LCM of 483, 169, 622, 874, 780 is 9646678860.

2. How to calculate the LCM of 483, 169, 622, 874, 780?

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 483, 169, 622, 874, 780.

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}.