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LCM of 474, 972, 327, 338, 834

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


Find the LCM of 474, 972, 327, 338, 834 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, 972, 327, 338, 834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,972,327,338,834

Given numbers are 474,972,327,338,834

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

The LCM of 474,972,327,338,834 is 196617132972.

Find LCM of 474,972,327,338,834 with Prime Factorization


2 474, 972, 327, 338, 834
3 237, 486, 327, 169, 417
79, 162, 109, 169, 139

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

2 x 3 x 79 x 162 x 109 x 169 x 139 = 196617132972

Therefore, the lowest common multiple of 474,972,327,338,834 is 196617132972.

LCM Formula to Find Lowest Common Multiple of 474,972,327,338,834

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 972 x 327 x 338 x 834 = 42469300721952

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

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

327 : 1, 3, 109, 327

338 : 1, 2, 13, 26, 169, 338

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,972,327,338,834, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

972:2x 2x 3x 3x 3x 3x 3

327:3x 109

338:2x 13x 13

834:2x 3x 139

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 42469300721952/(1x216)

LCM = 42469300721952/216

LCM = 196617132972

Thus, we can understand that the LCM of 474,972,327,338,834 is 196617132972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 972, 327, 338, 834

1. What is the LCM of 474, 972, 327, 338, 834?

Answer: LCM of 474, 972, 327, 338, 834 is 196617132972.

2. How to calculate the LCM of 474, 972, 327, 338, 834?

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, 972, 327, 338, 834.

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}.