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LCM of 858, 540, 448, 417

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


Find the LCM of 858, 540, 448, 417 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 858, 540, 448, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,540,448,417

Given numbers are 858,540,448,417

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

The LCM of 858,540,448,417 is 1202160960.

Find LCM of 858,540,448,417 with Prime Factorization


2 858, 540, 448, 417
2 429, 270, 224, 417
3 429, 135, 112, 417
143, 45, 112, 139

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

2 x 2 x 3 x 143 x 45 x 112 x 139 = 1202160960

Therefore, the lowest common multiple of 858,540,448,417 is 1202160960.

LCM Formula to Find Lowest Common Multiple of 858,540,448,417

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.

858 x 540 x 448 x 417 = 86555589120

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,540,448,417, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

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

448:2x 2x 2x 2x 2x 2x 7

417:3x 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 3 = 72

Therefore, the value for common factors is 72.

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 = 86555589120/(1x72)

LCM = 86555589120/72

LCM = 1202160960

Thus, we can understand that the LCM of 858,540,448,417 is 1202160960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 540, 448, 417

1. What is the LCM of 858, 540, 448, 417?

Answer: LCM of 858, 540, 448, 417 is 1202160960.

2. How to calculate the LCM of 858, 540, 448, 417?

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 858, 540, 448, 417.

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}.