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LCM of 474, 936, 273, 629, 986

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


Find the LCM of 474, 936, 273, 629, 986 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 474, 936, 273, 629, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,936,273,629,986

Given numbers are 474,936,273,629,986

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

The LCM of 474,936,273,629,986 is 9441687528.

Find LCM of 474,936,273,629,986 with Prime Factorization


2 474, 936, 273, 629, 986
3 237, 468, 273, 629, 493
13 79, 156, 91, 629, 493
17 79, 12, 7, 629, 493
79, 12, 7, 37, 29

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

2 x 3 x 13 x 17 x 79 x 12 x 7 x 37 x 29 = 9441687528

Therefore, the lowest common multiple of 474,936,273,629,986 is 9441687528.

LCM Formula to Find Lowest Common Multiple of 474,936,273,629,986

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.

474 x 936 x 273 x 629 x 986 = 75118065972768

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

273 : 1, 3, 7, 13, 21, 39, 91, 273

629 : 1, 17, 37, 629

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,936,273,629,986, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

936:2x 2x 2x 3x 3x 13

273:3x 7x 13

629:17x 37

986:2x 17x 29

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 3x 13x 17 = 7956

Therefore, the value for common factors is 7956.

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 = 75118065972768/(1x7956)

LCM = 75118065972768/7956

LCM = 9441687528

Thus, we can understand that the LCM of 474,936,273,629,986 is 9441687528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 936, 273, 629, 986

1. What is the LCM of 474, 936, 273, 629, 986?

Answer: LCM of 474, 936, 273, 629, 986 is 9441687528.

2. How to calculate the LCM of 474, 936, 273, 629, 986?

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 474, 936, 273, 629, 986.

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}.