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LCM of 162, 628, 749, 286

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


Find the LCM of 162, 628, 749, 286 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 162, 628, 749, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,628,749,286

Given numbers are 162,628,749,286

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

The LCM of 162,628,749,286 is 5448318876.

Find LCM of 162,628,749,286 with Prime Factorization


2 162, 628, 749, 286
81, 314, 749, 143

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

2 x 81 x 314 x 749 x 143 = 5448318876

Therefore, the lowest common multiple of 162,628,749,286 is 5448318876.

LCM Formula to Find Lowest Common Multiple of 162,628,749,286

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.

162 x 628 x 749 x 286 = 21793275504

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

628 : 1, 2, 4, 157, 314, 628

749 : 1, 7, 107, 749

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,628,749,286, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

628:2x 2x 157

749:7x 107

286:2x 11x 13

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 = 21793275504/(1x4)

LCM = 21793275504/4

LCM = 5448318876

Thus, we can understand that the LCM of 162,628,749,286 is 5448318876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 628, 749, 286

1. What is the LCM of 162, 628, 749, 286?

Answer: LCM of 162, 628, 749, 286 is 5448318876.

2. How to calculate the LCM of 162, 628, 749, 286?

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 162, 628, 749, 286.

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}.