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LCM of 133, 687, 697, 578, 356

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


Find the LCM of 133, 687, 697, 578, 356 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 133, 687, 697, 578, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 133,687,697,578,356

Given numbers are 133,687,697,578,356

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

The LCM of 133,687,697,578,356 is 385425172524.

Find LCM of 133,687,697,578,356 with Prime Factorization


2 133, 687, 697, 578, 356
17 133, 687, 697, 289, 178
133, 687, 41, 17, 178

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

2 x 17 x 133 x 687 x 41 x 17 x 178 = 385425172524

Therefore, the lowest common multiple of 133,687,697,578,356 is 385425172524.

LCM Formula to Find Lowest Common Multiple of 133,687,697,578,356

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.

133 x 687 x 697 x 578 x 356 = 13104455865816

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.

133 : 1, 7, 19, 133

687 : 1, 3, 229, 687

697 : 1, 17, 41, 697

578 : 1, 2, 17, 34, 289, 578

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,687,697,578,356, is 1.

Now, the common factors can be found like this.

133:7x 19

687:3x 229

697:17x 41

578:2x 17x 17

356:2x 2x 89

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 13104455865816/(1x34)

LCM = 13104455865816/34

LCM = 385425172524

Thus, we can understand that the LCM of 133,687,697,578,356 is 385425172524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 133, 687, 697, 578, 356

1. What is the LCM of 133, 687, 697, 578, 356?

Answer: LCM of 133, 687, 697, 578, 356 is 385425172524.

2. How to calculate the LCM of 133, 687, 697, 578, 356?

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 133, 687, 697, 578, 356.

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}.