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LCM of 850, 880, 858, 151, 412

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


Find the LCM of 850, 880, 858, 151, 412 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 850, 880, 858, 151, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 850,880,858,151,412

Given numbers are 850,880,858,151,412

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

The LCM of 850,880,858,151,412 is 45371211600.

Find LCM of 850,880,858,151,412 with Prime Factorization


2 850, 880, 858, 151, 412
2 425, 440, 429, 151, 206
5 425, 220, 429, 151, 103
11 85, 44, 429, 151, 103
85, 4, 39, 151, 103

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

2 x 2 x 5 x 11 x 85 x 4 x 39 x 151 x 103 = 45371211600

Therefore, the lowest common multiple of 850,880,858,151,412 is 45371211600.

LCM Formula to Find Lowest Common Multiple of 850,880,858,151,412

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.

850 x 880 x 858 x 151 x 412 = 39926666208000

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.

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

151 : 1, 151

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,880,858,151,412, is 1.

Now, the common factors can be found like this.

850:2x 5x 5x 17

880:2x 2x 2x 2x 5x 11

858:2x 3x 11x 13

151:151

412:2x 2x 103

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 2x 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 39926666208000/(1x880)

LCM = 39926666208000/880

LCM = 45371211600

Thus, we can understand that the LCM of 850,880,858,151,412 is 45371211600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 850, 880, 858, 151, 412

1. What is the LCM of 850, 880, 858, 151, 412?

Answer: LCM of 850, 880, 858, 151, 412 is 45371211600.

2. How to calculate the LCM of 850, 880, 858, 151, 412?

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 850, 880, 858, 151, 412.

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}.