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LCM of 416, 142, 111, 851

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


Find the LCM of 416, 142, 111, 851 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, 142, 111, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,142,111,851

Given numbers are 416,142,111,851

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

The LCM of 416,142,111,851 is 75405408.

Find LCM of 416,142,111,851 with Prime Factorization


2 416, 142, 111, 851
37 208, 71, 111, 851
208, 71, 3, 23

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

2 x 37 x 208 x 71 x 3 x 23 = 75405408

Therefore, the lowest common multiple of 416,142,111,851 is 75405408.

LCM Formula to Find Lowest Common Multiple of 416,142,111,851

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 142 x 111 x 851 = 5580000192

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

142 : 1, 2, 71, 142

111 : 1, 3, 37, 111

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,142,111,851, is 1.

Now, the common factors can be found like this.

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

142:2x 71

111:3x 37

851:23x 37

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

2x 37 = 74

Therefore, the value for common factors is 74.

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 = 5580000192/(1x74)

LCM = 5580000192/74

LCM = 75405408

Thus, we can understand that the LCM of 416,142,111,851 is 75405408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 142, 111, 851

1. What is the LCM of 416, 142, 111, 851?

Answer: LCM of 416, 142, 111, 851 is 75405408.

2. How to calculate the LCM of 416, 142, 111, 851?

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, 142, 111, 851.

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}.