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 854, 362, 539, 902, 837

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


Find the LCM of 854, 362, 539, 902, 837 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 854, 362, 539, 902, 837. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 854,362,539,902,837

Given numbers are 854,362,539,902,837

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

The LCM of 854,362,539,902,837 is 408447728766.

Find LCM of 854,362,539,902,837 with Prime Factorization


2 854, 362, 539, 902, 837
7 427, 181, 539, 451, 837
11 61, 181, 77, 451, 837
61, 181, 7, 41, 837

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

2 x 7 x 11 x 61 x 181 x 7 x 41 x 837 = 408447728766

Therefore, the lowest common multiple of 854,362,539,902,837 is 408447728766.

LCM Formula to Find Lowest Common Multiple of 854,362,539,902,837

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.

854 x 362 x 539 x 902 x 837 = 125801900459928

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.

854 : 1, 2, 7, 14, 61, 122, 427, 854

362 : 1, 2, 181, 362

539 : 1, 7, 11, 49, 77, 539

902 : 1, 2, 11, 22, 41, 82, 451, 902

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,362,539,902,837, is 1.

Now, the common factors can be found like this.

854:2x 7x 61

362:2x 181

539:7x 7x 11

902:2x 11x 41

837:3x 3x 3x 31

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 125801900459928/(1x308)

LCM = 125801900459928/308

LCM = 408447728766

Thus, we can understand that the LCM of 854,362,539,902,837 is 408447728766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 854, 362, 539, 902, 837

1. What is the LCM of 854, 362, 539, 902, 837?

Answer: LCM of 854, 362, 539, 902, 837 is 408447728766.

2. How to calculate the LCM of 854, 362, 539, 902, 837?

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 854, 362, 539, 902, 837.

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}.