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LCM of 801, 559, 946, 978

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


Find the LCM of 801, 559, 946, 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 801, 559, 946, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,559,946,978

Given numbers are 801,559,946,978

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

The LCM of 801,559,946,978 is 1605663774.

Find LCM of 801,559,946,978 with Prime Factorization


2 801, 559, 946, 978
3 801, 559, 473, 489
43 267, 559, 473, 163
267, 13, 11, 163

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

2 x 3 x 43 x 267 x 13 x 11 x 163 = 1605663774

Therefore, the lowest common multiple of 801,559,946,978 is 1605663774.

LCM Formula to Find Lowest Common Multiple of 801,559,946,978

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.

801 x 559 x 946 x 978 = 414261253692

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.

801 : 1, 3, 9, 89, 267, 801

559 : 1, 13, 43, 559

946 : 1, 2, 11, 22, 43, 86, 473, 946

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 801,559,946,978, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

559:13x 43

946:2x 11x 43

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 3x 43 = 258

Therefore, the value for common factors is 258.

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 = 414261253692/(1x258)

LCM = 414261253692/258

LCM = 1605663774

Thus, we can understand that the LCM of 801,559,946,978 is 1605663774.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 559, 946, 978

1. What is the LCM of 801, 559, 946, 978?

Answer: LCM of 801, 559, 946, 978 is 1605663774.

2. How to calculate the LCM of 801, 559, 946, 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 801, 559, 946, 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}.