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LCM of 734, 341, 590, 627, 189

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


Find the LCM of 734, 341, 590, 627, 189 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 734, 341, 590, 627, 189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 734,341,590,627,189

Given numbers are 734,341,590,627,189

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

The LCM of 734,341,590,627,189 is 265147697430.

Find LCM of 734,341,590,627,189 with Prime Factorization


2 734, 341, 590, 627, 189
3 367, 341, 295, 627, 189
11 367, 341, 295, 209, 63
367, 31, 295, 19, 63

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

2 x 3 x 11 x 367 x 31 x 295 x 19 x 63 = 265147697430

Therefore, the lowest common multiple of 734,341,590,627,189 is 265147697430.

LCM Formula to Find Lowest Common Multiple of 734,341,590,627,189

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.

734 x 341 x 590 x 627 x 189 = 17499748030380

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.

734 : 1, 2, 367, 734

341 : 1, 11, 31, 341

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,341,590,627,189, is 1.

Now, the common factors can be found like this.

734:2x 367

341:11x 31

590:2x 5x 59

627:3x 11x 19

189:3x 3x 3x 7

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 17499748030380/(1x66)

LCM = 17499748030380/66

LCM = 265147697430

Thus, we can understand that the LCM of 734,341,590,627,189 is 265147697430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 734, 341, 590, 627, 189

1. What is the LCM of 734, 341, 590, 627, 189?

Answer: LCM of 734, 341, 590, 627, 189 is 265147697430.

2. How to calculate the LCM of 734, 341, 590, 627, 189?

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 734, 341, 590, 627, 189.

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}.