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LCM of 708, 177, 322, 897

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


Find the LCM of 708, 177, 322, 897 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 708, 177, 322, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,177,322,897

Given numbers are 708,177,322,897

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

The LCM of 708,177,322,897 is 1481844.

Find LCM of 708,177,322,897 with Prime Factorization


2 708, 177, 322, 897
3 354, 177, 161, 897
23 118, 59, 161, 299
59 118, 59, 7, 13
2, 1, 7, 13

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

2 x 3 x 23 x 59 x 2 x 1 x 7 x 13 = 1481844

Therefore, the lowest common multiple of 708,177,322,897 is 1481844.

LCM Formula to Find Lowest Common Multiple of 708,177,322,897

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.

708 x 177 x 322 x 897 = 36195521544

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.

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

177 : 1, 3, 59, 177

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

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,177,322,897, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

177:3x 59

322:2x 7x 23

897:3x 13x 23

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 23x 59 = 24426

Therefore, the value for common factors is 24426.

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 = 36195521544/(1x24426)

LCM = 36195521544/24426

LCM = 1481844

Thus, we can understand that the LCM of 708,177,322,897 is 1481844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 177, 322, 897

1. What is the LCM of 708, 177, 322, 897?

Answer: LCM of 708, 177, 322, 897 is 1481844.

2. How to calculate the LCM of 708, 177, 322, 897?

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 708, 177, 322, 897.

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}.