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LCM of 304, 966, 759, 177

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


Find the LCM of 304, 966, 759, 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 304, 966, 759, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,966,759,177

Given numbers are 304,966,759,177

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

The LCM of 304,966,759,177 is 95293968.

Find LCM of 304,966,759,177 with Prime Factorization


2 304, 966, 759, 177
3 152, 483, 759, 177
23 152, 161, 253, 59
152, 7, 11, 59

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

2 x 3 x 23 x 152 x 7 x 11 x 59 = 95293968

Therefore, the lowest common multiple of 304,966,759,177 is 95293968.

LCM Formula to Find Lowest Common Multiple of 304,966,759,177

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.

304 x 966 x 759 x 177 = 39451702752

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

759 : 1, 3, 11, 23, 33, 69, 253, 759

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,966,759,177, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

966:2x 3x 7x 23

759:3x 11x 23

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 3x 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 39451702752/(1x414)

LCM = 39451702752/414

LCM = 95293968

Thus, we can understand that the LCM of 304,966,759,177 is 95293968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 966, 759, 177

1. What is the LCM of 304, 966, 759, 177?

Answer: LCM of 304, 966, 759, 177 is 95293968.

2. How to calculate the LCM of 304, 966, 759, 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 304, 966, 759, 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}.