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LCM of 476, 107, 961, 325, 414

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


Find the LCM of 476, 107, 961, 325, 414 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 476, 107, 961, 325, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,107,961,325,414

Given numbers are 476,107,961,325,414

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

The LCM of 476,107,961,325,414 is 3292818738300.

Find LCM of 476,107,961,325,414 with Prime Factorization


2 476, 107, 961, 325, 414
238, 107, 961, 325, 207

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

2 x 238 x 107 x 961 x 325 x 207 = 3292818738300

Therefore, the lowest common multiple of 476,107,961,325,414 is 3292818738300.

LCM Formula to Find Lowest Common Multiple of 476,107,961,325,414

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.

476 x 107 x 961 x 325 x 414 = 6585637476600

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

107 : 1, 107

961 : 1, 31, 961

325 : 1, 5, 13, 25, 65, 325

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,107,961,325,414, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

107:107

961:31x 31

325:5x 5x 13

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 6585637476600/(1x2)

LCM = 6585637476600/2

LCM = 3292818738300

Thus, we can understand that the LCM of 476,107,961,325,414 is 3292818738300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 107, 961, 325, 414

1. What is the LCM of 476, 107, 961, 325, 414?

Answer: LCM of 476, 107, 961, 325, 414 is 3292818738300.

2. How to calculate the LCM of 476, 107, 961, 325, 414?

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 476, 107, 961, 325, 414.

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}.