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LCM of 749, 354, 664, 166, 643

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


Find the LCM of 749, 354, 664, 166, 643 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, 354, 664, 166, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,354,664,166,643

Given numbers are 749,354,664,166,643

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

The LCM of 749,354,664,166,643 is 56602307496.

Find LCM of 749,354,664,166,643 with Prime Factorization


2 749, 354, 664, 166, 643
83 749, 177, 332, 83, 643
749, 177, 4, 1, 643

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

2 x 83 x 749 x 177 x 4 x 1 x 643 = 56602307496

Therefore, the lowest common multiple of 749,354,664,166,643 is 56602307496.

LCM Formula to Find Lowest Common Multiple of 749,354,664,166,643

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 354 x 664 x 166 x 643 = 18791966088672

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

664 : 1, 2, 4, 8, 83, 166, 332, 664

166 : 1, 2, 83, 166

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,354,664,166,643, is 1.

Now, the common factors can be found like this.

749:7x 107

354:2x 3x 59

664:2x 2x 2x 83

166:2x 83

643:643

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

2x 2x 83 = 332

Therefore, the value for common factors is 332.

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 = 18791966088672/(1x332)

LCM = 18791966088672/332

LCM = 56602307496

Thus, we can understand that the LCM of 749,354,664,166,643 is 56602307496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 354, 664, 166, 643

1. What is the LCM of 749, 354, 664, 166, 643?

Answer: LCM of 749, 354, 664, 166, 643 is 56602307496.

2. How to calculate the LCM of 749, 354, 664, 166, 643?

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, 354, 664, 166, 643.

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}.