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LCM of 760, 936, 455, 290, 541

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


Find the LCM of 760, 936, 455, 290, 541 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 760, 936, 455, 290, 541. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,936,455,290,541

Given numbers are 760,936,455,290,541

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

The LCM of 760,936,455,290,541 is 9765461160.

Find LCM of 760,936,455,290,541 with Prime Factorization


2 760, 936, 455, 290, 541
2 380, 468, 455, 145, 541
2 190, 234, 455, 145, 541
5 95, 117, 455, 145, 541
13 19, 117, 91, 29, 541
19, 9, 7, 29, 541

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

2 x 2 x 2 x 5 x 13 x 19 x 9 x 7 x 29 x 541 = 9765461160

Therefore, the lowest common multiple of 760,936,455,290,541 is 9765461160.

LCM Formula to Find Lowest Common Multiple of 760,936,455,290,541

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.

760 x 936 x 455 x 290 x 541 = 50780398032000

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

455 : 1, 5, 7, 13, 35, 65, 91, 455

290 : 1, 2, 5, 10, 29, 58, 145, 290

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,936,455,290,541, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

936:2x 2x 2x 3x 3x 13

455:5x 7x 13

290:2x 5x 29

541:541

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 2x 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 50780398032000/(1x5200)

LCM = 50780398032000/5200

LCM = 9765461160

Thus, we can understand that the LCM of 760,936,455,290,541 is 9765461160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 936, 455, 290, 541

1. What is the LCM of 760, 936, 455, 290, 541?

Answer: LCM of 760, 936, 455, 290, 541 is 9765461160.

2. How to calculate the LCM of 760, 936, 455, 290, 541?

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 760, 936, 455, 290, 541.

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}.