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LCM of 312, 886, 118, 437

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


Find the LCM of 312, 886, 118, 437 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 312, 886, 118, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,886,118,437

Given numbers are 312,886,118,437

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

The LCM of 312,886,118,437 is 3563623128.

Find LCM of 312,886,118,437 with Prime Factorization


2 312, 886, 118, 437
156, 443, 59, 437

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

2 x 156 x 443 x 59 x 437 = 3563623128

Therefore, the lowest common multiple of 312,886,118,437 is 3563623128.

LCM Formula to Find Lowest Common Multiple of 312,886,118,437

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.

312 x 886 x 118 x 437 = 14254492512

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

886 : 1, 2, 443, 886

118 : 1, 2, 59, 118

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,886,118,437, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

886:2x 443

118:2x 59

437:19x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14254492512/(1x4)

LCM = 14254492512/4

LCM = 3563623128

Thus, we can understand that the LCM of 312,886,118,437 is 3563623128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 886, 118, 437

1. What is the LCM of 312, 886, 118, 437?

Answer: LCM of 312, 886, 118, 437 is 3563623128.

2. How to calculate the LCM of 312, 886, 118, 437?

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 312, 886, 118, 437.

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}.