LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 994, 305, 782, 620, 896

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


Find the LCM of 994, 305, 782, 620, 896 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 994, 305, 782, 620, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,305,782,620,896

Given numbers are 994,305,782,620,896

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

The LCM of 994,305,782,620,896 is 235182308480.

Find LCM of 994,305,782,620,896 with Prime Factorization


2 994, 305, 782, 620, 896
2 497, 305, 391, 310, 448
5 497, 305, 391, 155, 224
7 497, 61, 391, 31, 224
71, 61, 391, 31, 32

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

2 x 2 x 5 x 7 x 71 x 61 x 391 x 31 x 32 = 235182308480

Therefore, the lowest common multiple of 994,305,782,620,896 is 235182308480.

LCM Formula to Find Lowest Common Multiple of 994,305,782,620,896

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.

994 x 305 x 782 x 620 x 896 = 131702092748800

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

305 : 1, 5, 61, 305

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,305,782,620,896, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

305:5x 61

782:2x 17x 23

620:2x 2x 5x 31

896:2x 2x 2x 2x 2x 2x 2x 7

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 7 = 560

Therefore, the value for common factors is 560.

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 = 131702092748800/(1x560)

LCM = 131702092748800/560

LCM = 235182308480

Thus, we can understand that the LCM of 994,305,782,620,896 is 235182308480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 305, 782, 620, 896

1. What is the LCM of 994, 305, 782, 620, 896?

Answer: LCM of 994, 305, 782, 620, 896 is 235182308480.

2. How to calculate the LCM of 994, 305, 782, 620, 896?

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 994, 305, 782, 620, 896.

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}.