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LCM of 902, 419, 334, 194, 342

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


Find the LCM of 902, 419, 334, 194, 342 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 902, 419, 334, 194, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,419,334,194,342

Given numbers are 902,419,334,194,342

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

The LCM of 902,419,334,194,342 is 1046899220202.

Find LCM of 902,419,334,194,342 with Prime Factorization


2 902, 419, 334, 194, 342
451, 419, 167, 97, 171

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

2 x 451 x 419 x 167 x 97 x 171 = 1046899220202

Therefore, the lowest common multiple of 902,419,334,194,342 is 1046899220202.

LCM Formula to Find Lowest Common Multiple of 902,419,334,194,342

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.

902 x 419 x 334 x 194 x 342 = 8375193761616

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

419 : 1, 419

334 : 1, 2, 167, 334

194 : 1, 2, 97, 194

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,419,334,194,342, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

419:419

334:2x 167

194:2x 97

342:2x 3x 3x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 8375193761616/(1x8)

LCM = 8375193761616/8

LCM = 1046899220202

Thus, we can understand that the LCM of 902,419,334,194,342 is 1046899220202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 419, 334, 194, 342

1. What is the LCM of 902, 419, 334, 194, 342?

Answer: LCM of 902, 419, 334, 194, 342 is 1046899220202.

2. How to calculate the LCM of 902, 419, 334, 194, 342?

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 902, 419, 334, 194, 342.

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}.