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LCM of 737, 669, 669, 775

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


Find the LCM of 737, 669, 669, 775 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 737, 669, 669, 775. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,669,669,775

Given numbers are 737,669,669,775

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

The LCM of 737,669,669,775 is 382116075.

Find LCM of 737,669,669,775 with Prime Factorization


3 737, 669, 669, 775
223 737, 223, 223, 775
737, 1, 1, 775

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

3 x 223 x 737 x 1 x 1 x 775 = 382116075

Therefore, the lowest common multiple of 737,669,669,775 is 382116075.

LCM Formula to Find Lowest Common Multiple of 737,669,669,775

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.

737 x 669 x 669 x 775 = 255635654175

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.

737 : 1, 11, 67, 737

669 : 1, 3, 223, 669

669 : 1, 3, 223, 669

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,669,669,775, is 1.

Now, the common factors can be found like this.

737:11x 67

669:3x 223

669:3x 223

775:5x 5x 31

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

3x 223 = 669

Therefore, the value for common factors is 669.

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 = 255635654175/(1x669)

LCM = 255635654175/669

LCM = 382116075

Thus, we can understand that the LCM of 737,669,669,775 is 382116075.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 669, 669, 775

1. What is the LCM of 737, 669, 669, 775?

Answer: LCM of 737, 669, 669, 775 is 382116075.

2. How to calculate the LCM of 737, 669, 669, 775?

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 737, 669, 669, 775.

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}.