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LCM of 743, 346, 262

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


Find the LCM of 743, 346, 262 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 743, 346, 262. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,346,262

Given numbers are 743,346,262

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

The LCM of 743,346,262 is 33677218.

Find LCM of 743,346,262 with Prime Factorization


2 743, 346, 262
743, 173, 131

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

2 x 743 x 173 x 131 = 33677218

Therefore, the lowest common multiple of 743,346,262 is 33677218.

LCM Formula to Find Lowest Common Multiple of 743,346,262

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.

743 x 346 x 262 = 67354436

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.

743 : 1, 743

346 : 1, 2, 173, 346

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,346,262, is 1.

Now, the common factors can be found like this.

743:743

346:2x 173

262:2x 131

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 = 67354436/(1x2)

LCM = 67354436/2

LCM = 33677218

Thus, we can understand that the LCM of 743,346,262 is 33677218.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 743, 346, 262

1. What is the LCM of 743, 346, 262?

Answer: LCM of 743, 346, 262 is 33677218.

2. How to calculate the LCM of 743, 346, 262?

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 743, 346, 262.

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}.