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LCM of 741, 538, 209, 546, 295

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


Find the LCM of 741, 538, 209, 546, 295 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 741, 538, 209, 546, 295. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,538,209,546,295

Given numbers are 741,538,209,546,295

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

The LCM of 741,538,209,546,295 is 9055516470.

Find LCM of 741,538,209,546,295 with Prime Factorization


2 741, 538, 209, 546, 295
3 741, 269, 209, 273, 295
13 247, 269, 209, 91, 295
19 19, 269, 209, 7, 295
1, 269, 11, 7, 295

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

2 x 3 x 13 x 19 x 1 x 269 x 11 x 7 x 295 = 9055516470

Therefore, the lowest common multiple of 741,538,209,546,295 is 9055516470.

LCM Formula to Find Lowest Common Multiple of 741,538,209,546,295

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.

741 x 538 x 209 x 546 x 295 = 13420275408540

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

538 : 1, 2, 269, 538

209 : 1, 11, 19, 209

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,538,209,546,295, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

538:2x 269

209:11x 19

546:2x 3x 7x 13

295:5x 59

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 13x 19 = 1482

Therefore, the value for common factors is 1482.

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 = 13420275408540/(1x1482)

LCM = 13420275408540/1482

LCM = 9055516470

Thus, we can understand that the LCM of 741,538,209,546,295 is 9055516470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 538, 209, 546, 295

1. What is the LCM of 741, 538, 209, 546, 295?

Answer: LCM of 741, 538, 209, 546, 295 is 9055516470.

2. How to calculate the LCM of 741, 538, 209, 546, 295?

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 741, 538, 209, 546, 295.

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}.