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LCM of 749, 345, 345, 414

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


Find the LCM of 749, 345, 345, 414 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 749, 345, 345, 414. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,345,345,414

Given numbers are 749,345,345,414

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

The LCM of 749,345,345,414 is 1550430.

Find LCM of 749,345,345,414 with Prime Factorization


3 749, 345, 345, 414
5 749, 115, 115, 138
23 749, 23, 23, 138
749, 1, 1, 6

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

3 x 5 x 23 x 749 x 1 x 1 x 6 = 1550430

Therefore, the lowest common multiple of 749,345,345,414 is 1550430.

LCM Formula to Find Lowest Common Multiple of 749,345,345,414

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.

749 x 345 x 345 x 414 = 36907986150

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.

749 : 1, 7, 107, 749

345 : 1, 3, 5, 15, 23, 69, 115, 345

345 : 1, 3, 5, 15, 23, 69, 115, 345

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,345,345,414, is 1.

Now, the common factors can be found like this.

749:7x 107

345:3x 5x 23

345:3x 5x 23

414:2x 3x 3x 23

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

3x 3x 5x 23x 23 = 23805

Therefore, the value for common factors is 23805.

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 = 36907986150/(1x23805)

LCM = 36907986150/23805

LCM = 1550430

Thus, we can understand that the LCM of 749,345,345,414 is 1550430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 345, 345, 414

1. What is the LCM of 749, 345, 345, 414?

Answer: LCM of 749, 345, 345, 414 is 1550430.

2. How to calculate the LCM of 749, 345, 345, 414?

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 749, 345, 345, 414.

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}.