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LCM of 732, 930, 674, 341

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


Find the LCM of 732, 930, 674, 341 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 732, 930, 674, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,930,674,341

Given numbers are 732,930,674,341

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

The LCM of 732,930,674,341 is 420596220.

Find LCM of 732,930,674,341 with Prime Factorization


2 732, 930, 674, 341
3 366, 465, 337, 341
31 122, 155, 337, 341
122, 5, 337, 11

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

2 x 3 x 31 x 122 x 5 x 337 x 11 = 420596220

Therefore, the lowest common multiple of 732,930,674,341 is 420596220.

LCM Formula to Find Lowest Common Multiple of 732,930,674,341

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.

732 x 930 x 674 x 341 = 156461793840

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

674 : 1, 2, 337, 674

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,930,674,341, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

930:2x 3x 5x 31

674:2x 337

341:11x 31

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 31 = 372

Therefore, the value for common factors is 372.

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 = 156461793840/(1x372)

LCM = 156461793840/372

LCM = 420596220

Thus, we can understand that the LCM of 732,930,674,341 is 420596220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 930, 674, 341

1. What is the LCM of 732, 930, 674, 341?

Answer: LCM of 732, 930, 674, 341 is 420596220.

2. How to calculate the LCM of 732, 930, 674, 341?

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 732, 930, 674, 341.

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}.