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 104, 832, 736, 377, 978

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


Find the LCM of 104, 832, 736, 377, 978 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 104, 832, 736, 377, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,832,736,377,978

Given numbers are 104,832,736,377,978

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

The LCM of 104,832,736,377,978 is 271367616.

Find LCM of 104,832,736,377,978 with Prime Factorization


2 104, 832, 736, 377, 978
2 52, 416, 368, 377, 489
2 26, 208, 184, 377, 489
2 13, 104, 92, 377, 489
2 13, 52, 46, 377, 489
13 13, 26, 23, 377, 489
1, 2, 23, 29, 489

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

2 x 2 x 2 x 2 x 2 x 13 x 1 x 2 x 23 x 29 x 489 = 271367616

Therefore, the lowest common multiple of 104,832,736,377,978 is 271367616.

LCM Formula to Find Lowest Common Multiple of 104,832,736,377,978

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.

104 x 832 x 736 x 377 x 978 = 23480897077248

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

377 : 1, 13, 29, 377

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,832,736,377,978, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

832:2x 2x 2x 2x 2x 2x 13

736:2x 2x 2x 2x 2x 23

377:13x 29

978:2x 3x 163

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 2x 2x 2x 2x 13x 13 = 86528

Therefore, the value for common factors is 86528.

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 = 23480897077248/(1x86528)

LCM = 23480897077248/86528

LCM = 271367616

Thus, we can understand that the LCM of 104,832,736,377,978 is 271367616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 832, 736, 377, 978

1. What is the LCM of 104, 832, 736, 377, 978?

Answer: LCM of 104, 832, 736, 377, 978 is 271367616.

2. How to calculate the LCM of 104, 832, 736, 377, 978?

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 104, 832, 736, 377, 978.

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}.