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LCM of 977, 483, 782, 782, 494

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


Find the LCM of 977, 483, 782, 782, 494 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 977, 483, 782, 782, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,483,782,782,494

Given numbers are 977,483,782,782,494

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

The LCM of 977,483,782,782,494 is 3962940618.

Find LCM of 977,483,782,782,494 with Prime Factorization


2 977, 483, 782, 782, 494
17 977, 483, 391, 391, 247
23 977, 483, 23, 23, 247
977, 21, 1, 1, 247

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

2 x 17 x 23 x 977 x 21 x 1 x 1 x 247 = 3962940618

Therefore, the lowest common multiple of 977,483,782,782,494 is 3962940618.

LCM Formula to Find Lowest Common Multiple of 977,483,782,782,494

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.

977 x 483 x 782 x 782 x 494 = 142554899910696

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.

977 : 1, 977

483 : 1, 3, 7, 21, 23, 69, 161, 483

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

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

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,483,782,782,494, is 1.

Now, the common factors can be found like this.

977:977

483:3x 7x 23

782:2x 17x 23

782:2x 17x 23

494:2x 13x 19

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 17x 23x 23 = 35972

Therefore, the value for common factors is 35972.

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 = 142554899910696/(1x35972)

LCM = 142554899910696/35972

LCM = 3962940618

Thus, we can understand that the LCM of 977,483,782,782,494 is 3962940618.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 483, 782, 782, 494

1. What is the LCM of 977, 483, 782, 782, 494?

Answer: LCM of 977, 483, 782, 782, 494 is 3962940618.

2. How to calculate the LCM of 977, 483, 782, 782, 494?

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 977, 483, 782, 782, 494.

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}.