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LCM of 114, 145, 133, 341, 694

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


Find the LCM of 114, 145, 133, 341, 694 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 114, 145, 133, 341, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,145,133,341,694

Given numbers are 114,145,133,341,694

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

The LCM of 114,145,133,341,694 is 13691617170.

Find LCM of 114,145,133,341,694 with Prime Factorization


2 114, 145, 133, 341, 694
19 57, 145, 133, 341, 347
3, 145, 7, 341, 347

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

2 x 19 x 3 x 145 x 7 x 341 x 347 = 13691617170

Therefore, the lowest common multiple of 114,145,133,341,694 is 13691617170.

LCM Formula to Find Lowest Common Multiple of 114,145,133,341,694

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.

114 x 145 x 133 x 341 x 694 = 520281452460

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

145 : 1, 5, 29, 145

133 : 1, 7, 19, 133

341 : 1, 11, 31, 341

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,145,133,341,694, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

145:5x 29

133:7x 19

341:11x 31

694:2x 347

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 520281452460/(1x38)

LCM = 520281452460/38

LCM = 13691617170

Thus, we can understand that the LCM of 114,145,133,341,694 is 13691617170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 145, 133, 341, 694

1. What is the LCM of 114, 145, 133, 341, 694?

Answer: LCM of 114, 145, 133, 341, 694 is 13691617170.

2. How to calculate the LCM of 114, 145, 133, 341, 694?

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 114, 145, 133, 341, 694.

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}.