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LCM of 919, 741, 476, 566

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


Find the LCM of 919, 741, 476, 566 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 919, 741, 476, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,741,476,566

Given numbers are 919,741,476,566

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

The LCM of 919,741,476,566 is 91733319132.

Find LCM of 919,741,476,566 with Prime Factorization


2 919, 741, 476, 566
919, 741, 238, 283

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

2 x 919 x 741 x 238 x 283 = 91733319132

Therefore, the lowest common multiple of 919,741,476,566 is 91733319132.

LCM Formula to Find Lowest Common Multiple of 919,741,476,566

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.

919 x 741 x 476 x 566 = 183466638264

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.

919 : 1, 919

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,741,476,566, is 1.

Now, the common factors can be found like this.

919:919

741:3x 13x 19

476:2x 2x 7x 17

566:2x 283

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

2 = 2

Therefore, the value for common factors is 2.

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 = 183466638264/(1x2)

LCM = 183466638264/2

LCM = 91733319132

Thus, we can understand that the LCM of 919,741,476,566 is 91733319132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 741, 476, 566

1. What is the LCM of 919, 741, 476, 566?

Answer: LCM of 919, 741, 476, 566 is 91733319132.

2. How to calculate the LCM of 919, 741, 476, 566?

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 919, 741, 476, 566.

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}.