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LCM of 353, 194, 398, 147, 127

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


Find the LCM of 353, 194, 398, 147, 127 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 353, 194, 398, 147, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,194,398,147,127

Given numbers are 353,194,398,147,127

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

The LCM of 353,194,398,147,127 is 254419601142.

Find LCM of 353,194,398,147,127 with Prime Factorization


2 353, 194, 398, 147, 127
353, 97, 199, 147, 127

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

2 x 353 x 97 x 199 x 147 x 127 = 254419601142

Therefore, the lowest common multiple of 353,194,398,147,127 is 254419601142.

LCM Formula to Find Lowest Common Multiple of 353,194,398,147,127

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.

353 x 194 x 398 x 147 x 127 = 508839202284

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.

353 : 1, 353

194 : 1, 2, 97, 194

398 : 1, 2, 199, 398

147 : 1, 3, 7, 21, 49, 147

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,194,398,147,127, is 1.

Now, the common factors can be found like this.

353:353

194:2x 97

398:2x 199

147:3x 7x 7

127:127

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

2 = 2

Therefore, the value for common factors is 2.

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 = 508839202284/(1x2)

LCM = 508839202284/2

LCM = 254419601142

Thus, we can understand that the LCM of 353,194,398,147,127 is 254419601142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 194, 398, 147, 127

1. What is the LCM of 353, 194, 398, 147, 127?

Answer: LCM of 353, 194, 398, 147, 127 is 254419601142.

2. How to calculate the LCM of 353, 194, 398, 147, 127?

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 353, 194, 398, 147, 127.

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}.