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LCM of 416, 674, 674, 935, 343

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


Find the LCM of 416, 674, 674, 935, 343 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 416, 674, 674, 935, 343. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,674,674,935,343

Given numbers are 416,674,674,935,343

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

The LCM of 416,674,674,935,343 is 44960275360.

Find LCM of 416,674,674,935,343 with Prime Factorization


2 416, 674, 674, 935, 343
337 208, 337, 337, 935, 343
208, 1, 1, 935, 343

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

2 x 337 x 208 x 1 x 1 x 935 x 343 = 44960275360

Therefore, the lowest common multiple of 416,674,674,935,343 is 44960275360.

LCM Formula to Find Lowest Common Multiple of 416,674,674,935,343

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.

416 x 674 x 674 x 935 x 343 = 60606451185280

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

674 : 1, 2, 337, 674

674 : 1, 2, 337, 674

935 : 1, 5, 11, 17, 55, 85, 187, 935

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,674,674,935,343, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

674:2x 337

674:2x 337

935:5x 11x 17

343:7x 7x 7

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 337 = 1348

Therefore, the value for common factors is 1348.

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 = 60606451185280/(1x1348)

LCM = 60606451185280/1348

LCM = 44960275360

Thus, we can understand that the LCM of 416,674,674,935,343 is 44960275360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 674, 674, 935, 343

1. What is the LCM of 416, 674, 674, 935, 343?

Answer: LCM of 416, 674, 674, 935, 343 is 44960275360.

2. How to calculate the LCM of 416, 674, 674, 935, 343?

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 416, 674, 674, 935, 343.

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}.