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LCM of 791, 476, 364, 565, 554

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


Find the LCM of 791, 476, 364, 565, 554 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 791, 476, 364, 565, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,476,364,565,554

Given numbers are 791,476,364,565,554

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

The LCM of 791,476,364,565,554 is 968452940.

Find LCM of 791,476,364,565,554 with Prime Factorization


2 791, 476, 364, 565, 554
2 791, 238, 182, 565, 277
7 791, 119, 91, 565, 277
113 113, 17, 13, 565, 277
1, 17, 13, 5, 277

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

2 x 2 x 7 x 113 x 1 x 17 x 13 x 5 x 277 = 968452940

Therefore, the lowest common multiple of 791,476,364,565,554 is 968452940.

LCM Formula to Find Lowest Common Multiple of 791,476,364,565,554

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.

791 x 476 x 364 x 565 x 554 = 42898591430240

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.

791 : 1, 7, 113, 791

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

565 : 1, 5, 113, 565

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,476,364,565,554, is 1.

Now, the common factors can be found like this.

791:7x 113

476:2x 2x 7x 17

364:2x 2x 7x 13

565:5x 113

554:2x 277

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 7x 7x 113 = 44296

Therefore, the value for common factors is 44296.

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 = 42898591430240/(1x44296)

LCM = 42898591430240/44296

LCM = 968452940

Thus, we can understand that the LCM of 791,476,364,565,554 is 968452940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 476, 364, 565, 554

1. What is the LCM of 791, 476, 364, 565, 554?

Answer: LCM of 791, 476, 364, 565, 554 is 968452940.

2. How to calculate the LCM of 791, 476, 364, 565, 554?

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 791, 476, 364, 565, 554.

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}.