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LCM of 747, 177, 989, 332

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


Find the LCM of 747, 177, 989, 332 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 747, 177, 989, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,177,989,332

Given numbers are 747,177,989,332

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

The LCM of 747,177,989,332 is 174352788.

Find LCM of 747,177,989,332 with Prime Factorization


3 747, 177, 989, 332
83 249, 59, 989, 332
3, 59, 989, 4

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

3 x 83 x 3 x 59 x 989 x 4 = 174352788

Therefore, the lowest common multiple of 747,177,989,332 is 174352788.

LCM Formula to Find Lowest Common Multiple of 747,177,989,332

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.

747 x 177 x 989 x 332 = 43413844212

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.

747 : 1, 3, 9, 83, 249, 747

177 : 1, 3, 59, 177

989 : 1, 23, 43, 989

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,177,989,332, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

177:3x 59

989:23x 43

332:2x 2x 83

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

3x 83 = 249

Therefore, the value for common factors is 249.

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 = 43413844212/(1x249)

LCM = 43413844212/249

LCM = 174352788

Thus, we can understand that the LCM of 747,177,989,332 is 174352788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 177, 989, 332

1. What is the LCM of 747, 177, 989, 332?

Answer: LCM of 747, 177, 989, 332 is 174352788.

2. How to calculate the LCM of 747, 177, 989, 332?

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 747, 177, 989, 332.

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}.