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LCM of 917, 782, 621, 944, 472

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


Find the LCM of 917, 782, 621, 944, 472 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 917, 782, 621, 944, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,782,621,944,472

Given numbers are 917,782,621,944,472

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

The LCM of 917,782,621,944,472 is 9138645936.

Find LCM of 917,782,621,944,472 with Prime Factorization


2 917, 782, 621, 944, 472
2 917, 391, 621, 472, 236
2 917, 391, 621, 118, 236
23 917, 391, 621, 59, 118
59 917, 17, 27, 59, 118
917, 17, 27, 1, 2

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

2 x 2 x 2 x 23 x 59 x 917 x 17 x 27 x 1 x 2 = 9138645936

Therefore, the lowest common multiple of 917,782,621,944,472 is 9138645936.

LCM Formula to Find Lowest Common Multiple of 917,782,621,944,472

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.

917 x 782 x 621 x 944 x 472 = 198418280562432

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.

917 : 1, 7, 131, 917

782 : 1, 2, 17, 23, 34, 46, 391, 782

621 : 1, 3, 9, 23, 27, 69, 207, 621

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

472 : 1, 2, 4, 8, 59, 118, 236, 472

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,782,621,944,472, is 1.

Now, the common factors can be found like this.

917:7x 131

782:2x 17x 23

621:3x 3x 3x 23

944:2x 2x 2x 2x 59

472:2x 2x 2x 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 2x 2x 2x 23x 59 = 21712

Therefore, the value for common factors is 21712.

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 = 198418280562432/(1x21712)

LCM = 198418280562432/21712

LCM = 9138645936

Thus, we can understand that the LCM of 917,782,621,944,472 is 9138645936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 782, 621, 944, 472

1. What is the LCM of 917, 782, 621, 944, 472?

Answer: LCM of 917, 782, 621, 944, 472 is 9138645936.

2. How to calculate the LCM of 917, 782, 621, 944, 472?

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 917, 782, 621, 944, 472.

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}.