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 988, 944, 495, 193, 896

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


Find the LCM of 988, 944, 495, 193, 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 988, 944, 495, 193, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,944,495,193,896

Given numbers are 988,944,495,193,896

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

The LCM of 988,944,495,193,896 is 1247439473280.

Find LCM of 988,944,495,193,896 with Prime Factorization


2 988, 944, 495, 193, 896
2 494, 472, 495, 193, 448
2 247, 236, 495, 193, 224
2 247, 118, 495, 193, 112
247, 59, 495, 193, 56

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

2 x 2 x 2 x 2 x 247 x 59 x 495 x 193 x 56 = 1247439473280

Therefore, the lowest common multiple of 988,944,495,193,896 is 1247439473280.

LCM Formula to Find Lowest Common Multiple of 988,944,495,193,896

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.

988 x 944 x 495 x 193 x 896 = 79836126289920

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

193 : 1, 193

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 988,944,495,193,896, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

944:2x 2x 2x 2x 59

495:3x 3x 5x 11

193:193

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 79836126289920/(1x64)

LCM = 79836126289920/64

LCM = 1247439473280

Thus, we can understand that the LCM of 988,944,495,193,896 is 1247439473280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 944, 495, 193, 896

1. What is the LCM of 988, 944, 495, 193, 896?

Answer: LCM of 988, 944, 495, 193, 896 is 1247439473280.

2. How to calculate the LCM of 988, 944, 495, 193, 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 988, 944, 495, 193, 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}.