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 858, 792, 239, 630, 467

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


Find the LCM of 858, 792, 239, 630, 467 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 858, 792, 239, 630, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,792,239,630,467

Given numbers are 858,792,239,630,467

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

The LCM of 858,792,239,630,467 is 40220860680.

Find LCM of 858,792,239,630,467 with Prime Factorization


2 858, 792, 239, 630, 467
3 429, 396, 239, 315, 467
3 143, 132, 239, 105, 467
11 143, 44, 239, 35, 467
13, 4, 239, 35, 467

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

2 x 3 x 3 x 11 x 13 x 4 x 239 x 35 x 467 = 40220860680

Therefore, the lowest common multiple of 858,792,239,630,467 is 40220860680.

LCM Formula to Find Lowest Common Multiple of 858,792,239,630,467

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.

858 x 792 x 239 x 630 x 467 = 47782382487840

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

239 : 1, 239

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,792,239,630,467, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

792:2x 2x 2x 3x 3x 11

239:239

630:2x 3x 3x 5x 7

467:467

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 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 47782382487840/(1x1188)

LCM = 47782382487840/1188

LCM = 40220860680

Thus, we can understand that the LCM of 858,792,239,630,467 is 40220860680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 792, 239, 630, 467

1. What is the LCM of 858, 792, 239, 630, 467?

Answer: LCM of 858, 792, 239, 630, 467 is 40220860680.

2. How to calculate the LCM of 858, 792, 239, 630, 467?

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 858, 792, 239, 630, 467.

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}.