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 922, 290, 107, 580, 848

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


Find the LCM of 922, 290, 107, 580, 848 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 922, 290, 107, 580, 848. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,290,107,580,848

Given numbers are 922,290,107,580,848

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

The LCM of 922,290,107,580,848 is 6065247920.

Find LCM of 922,290,107,580,848 with Prime Factorization


2 922, 290, 107, 580, 848
2 461, 145, 107, 290, 424
5 461, 145, 107, 145, 212
29 461, 29, 107, 29, 212
461, 1, 107, 1, 212

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

2 x 2 x 5 x 29 x 461 x 1 x 107 x 1 x 212 = 6065247920

Therefore, the lowest common multiple of 922,290,107,580,848 is 6065247920.

LCM Formula to Find Lowest Common Multiple of 922,290,107,580,848

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.

922 x 290 x 107 x 580 x 848 = 14071375174400

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.

922 : 1, 2, 461, 922

290 : 1, 2, 5, 10, 29, 58, 145, 290

107 : 1, 107

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,290,107,580,848, is 1.

Now, the common factors can be found like this.

922:2x 461

290:2x 5x 29

107:107

580:2x 2x 5x 29

848:2x 2x 2x 2x 53

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 29 = 2320

Therefore, the value for common factors is 2320.

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 = 14071375174400/(1x2320)

LCM = 14071375174400/2320

LCM = 6065247920

Thus, we can understand that the LCM of 922,290,107,580,848 is 6065247920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 290, 107, 580, 848

1. What is the LCM of 922, 290, 107, 580, 848?

Answer: LCM of 922, 290, 107, 580, 848 is 6065247920.

2. How to calculate the LCM of 922, 290, 107, 580, 848?

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 922, 290, 107, 580, 848.

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}.