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LCM of 412, 540, 745, 258, 377

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


Find the LCM of 412, 540, 745, 258, 377 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 412, 540, 745, 258, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,540,745,258,377

Given numbers are 412,540,745,258,377

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

The LCM of 412,540,745,258,377 is 134346717180.

Find LCM of 412,540,745,258,377 with Prime Factorization


2 412, 540, 745, 258, 377
2 206, 270, 745, 129, 377
3 103, 135, 745, 129, 377
5 103, 45, 745, 43, 377
103, 9, 149, 43, 377

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

2 x 2 x 3 x 5 x 103 x 9 x 149 x 43 x 377 = 134346717180

Therefore, the lowest common multiple of 412,540,745,258,377 is 134346717180.

LCM Formula to Find Lowest Common Multiple of 412,540,745,258,377

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.

412 x 540 x 745 x 258 x 377 = 16121606061600

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.

412 : 1, 2, 4, 103, 206, 412

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

745 : 1, 5, 149, 745

258 : 1, 2, 3, 6, 43, 86, 129, 258

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,540,745,258,377, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

540:2x 2x 3x 3x 3x 5

745:5x 149

258:2x 3x 43

377:13x 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 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 16121606061600/(1x120)

LCM = 16121606061600/120

LCM = 134346717180

Thus, we can understand that the LCM of 412,540,745,258,377 is 134346717180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 540, 745, 258, 377

1. What is the LCM of 412, 540, 745, 258, 377?

Answer: LCM of 412, 540, 745, 258, 377 is 134346717180.

2. How to calculate the LCM of 412, 540, 745, 258, 377?

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 412, 540, 745, 258, 377.

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}.