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LCM of 322, 767, 708, 900

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


Find the LCM of 322, 767, 708, 900 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, 767, 708, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,767,708,900

Given numbers are 322,767,708,900

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

The LCM of 322,767,708,900 is 111138300.

Find LCM of 322,767,708,900 with Prime Factorization


2 322, 767, 708, 900
2 161, 767, 354, 450
3 161, 767, 177, 225
59 161, 767, 59, 75
161, 13, 1, 75

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

2 x 2 x 3 x 59 x 161 x 13 x 1 x 75 = 111138300

Therefore, the lowest common multiple of 322,767,708,900 is 111138300.

LCM Formula to Find Lowest Common Multiple of 322,767,708,900

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 767 x 708 x 900 = 157371832800

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

767 : 1, 13, 59, 767

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,767,708,900, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

767:13x 59

708:2x 2x 3x 59

900:2x 2x 3x 3x 5x 5

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 2x 3x 59 = 1416

Therefore, the value for common factors is 1416.

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 = 157371832800/(1x1416)

LCM = 157371832800/1416

LCM = 111138300

Thus, we can understand that the LCM of 322,767,708,900 is 111138300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 767, 708, 900

1. What is the LCM of 322, 767, 708, 900?

Answer: LCM of 322, 767, 708, 900 is 111138300.

2. How to calculate the LCM of 322, 767, 708, 900?

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, 767, 708, 900.

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}.