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LCM of 36, 262, 458

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


Find the LCM of 36, 262, 458 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 36, 262, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 36,262,458

Given numbers are 36,262,458

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

The LCM of 36,262,458 is 1079964.

Find LCM of 36,262,458 with Prime Factorization


2 36, 262, 458
18, 131, 229

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

2 x 18 x 131 x 229 = 1079964

Therefore, the lowest common multiple of 36,262,458 is 1079964.

LCM Formula to Find Lowest Common Multiple of 36,262,458

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.

36 x 262 x 458 = 4319856

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.

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

262 : 1, 2, 131, 262

458 : 1, 2, 229, 458

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 36,262,458, is 2.

Now, the common factors can be found like this.

36:2x 2x 3x 3

262:2x 131

458:2x 229

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4319856/(2x2)

LCM = 4319856/4

LCM = 1079964

Thus, we can understand that the LCM of 36,262,458 is 1079964.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 36, 262, 458

1. What is the LCM of 36, 262, 458?

Answer: LCM of 36, 262, 458 is 1079964.

2. How to calculate the LCM of 36, 262, 458?

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 36, 262, 458.

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}.