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LCM of 322, 901, 451, 264

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


Find the LCM of 322, 901, 451, 264 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, 901, 451, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,901,451,264

Given numbers are 322,901,451,264

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

The LCM of 322,901,451,264 is 1570140264.

Find LCM of 322,901,451,264 with Prime Factorization


2 322, 901, 451, 264
11 161, 901, 451, 132
161, 901, 41, 12

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

2 x 11 x 161 x 901 x 41 x 12 = 1570140264

Therefore, the lowest common multiple of 322,901,451,264 is 1570140264.

LCM Formula to Find Lowest Common Multiple of 322,901,451,264

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 901 x 451 x 264 = 34543085808

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

901 : 1, 17, 53, 901

451 : 1, 11, 41, 451

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,901,451,264, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

901:17x 53

451:11x 41

264:2x 2x 2x 3x 11

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 34543085808/(1x22)

LCM = 34543085808/22

LCM = 1570140264

Thus, we can understand that the LCM of 322,901,451,264 is 1570140264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 901, 451, 264

1. What is the LCM of 322, 901, 451, 264?

Answer: LCM of 322, 901, 451, 264 is 1570140264.

2. How to calculate the LCM of 322, 901, 451, 264?

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, 901, 451, 264.

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}.