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LCM of 322, 762, 672, 177

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


Find the LCM of 322, 762, 672, 177 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 322, 762, 672, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,762,672,177

Given numbers are 322,762,672,177

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

The LCM of 322,762,672,177 is 115811808.

Find LCM of 322,762,672,177 with Prime Factorization


2 322, 762, 672, 177
3 161, 381, 336, 177
7 161, 127, 112, 59
23, 127, 16, 59

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

2 x 3 x 7 x 23 x 127 x 16 x 59 = 115811808

Therefore, the lowest common multiple of 322,762,672,177 is 115811808.

LCM Formula to Find Lowest Common Multiple of 322,762,672,177

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.

322 x 762 x 672 x 177 = 29184575616

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

762 : 1, 2, 3, 6, 127, 254, 381, 762

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,762,672,177, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

762:2x 3x 127

672:2x 2x 2x 2x 2x 3x 7

177:3x 59

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 29184575616/(1x252)

LCM = 29184575616/252

LCM = 115811808

Thus, we can understand that the LCM of 322,762,672,177 is 115811808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 762, 672, 177

1. What is the LCM of 322, 762, 672, 177?

Answer: LCM of 322, 762, 672, 177 is 115811808.

2. How to calculate the LCM of 322, 762, 672, 177?

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 322, 762, 672, 177.

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}.