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LCM of 602, 194, 590, 354, 142

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


Find the LCM of 602, 194, 590, 354, 142 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 602, 194, 590, 354, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 602,194,590,354,142

Given numbers are 602,194,590,354,142

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

The LCM of 602,194,590,354,142 is 3669186990.

Find LCM of 602,194,590,354,142 with Prime Factorization


2 602, 194, 590, 354, 142
59 301, 97, 295, 177, 71
301, 97, 5, 3, 71

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

2 x 59 x 301 x 97 x 5 x 3 x 71 = 3669186990

Therefore, the lowest common multiple of 602,194,590,354,142 is 3669186990.

LCM Formula to Find Lowest Common Multiple of 602,194,590,354,142

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.

602 x 194 x 590 x 354 x 142 = 3463712518560

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.

602 : 1, 2, 7, 14, 43, 86, 301, 602

194 : 1, 2, 97, 194

590 : 1, 2, 5, 10, 59, 118, 295, 590

354 : 1, 2, 3, 6, 59, 118, 177, 354

142 : 1, 2, 71, 142

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,194,590,354,142, is 2.

Now, the common factors can be found like this.

602:2x 7x 43

194:2x 97

590:2x 5x 59

354:2x 3x 59

142:2x 71

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 2x 59 = 472

Therefore, the value for common factors is 472.

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 = 3463712518560/(2x472)

LCM = 3463712518560/944

LCM = 3669186990

Thus, we can understand that the LCM of 602,194,590,354,142 is 3669186990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 602, 194, 590, 354, 142

1. What is the LCM of 602, 194, 590, 354, 142?

Answer: LCM of 602, 194, 590, 354, 142 is 3669186990.

2. How to calculate the LCM of 602, 194, 590, 354, 142?

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 602, 194, 590, 354, 142.

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}.