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 684, 978, 688, 828, 842

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


Find the LCM of 684, 978, 688, 828, 842 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 684, 978, 688, 828, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 684,978,688,828,842

Given numbers are 684,978,688,828,842

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

The LCM of 684,978,688,828,842 is 185687250192.

Find LCM of 684,978,688,828,842 with Prime Factorization


2 684, 978, 688, 828, 842
2 342, 489, 344, 414, 421
3 171, 489, 172, 207, 421
3 57, 163, 172, 69, 421
19, 163, 172, 23, 421

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

2 x 2 x 3 x 3 x 19 x 163 x 172 x 23 x 421 = 185687250192

Therefore, the lowest common multiple of 684,978,688,828,842 is 185687250192.

LCM Formula to Find Lowest Common Multiple of 684,978,688,828,842

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.

684 x 978 x 688 x 828 x 842 = 320867568331776

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

842 : 1, 2, 421, 842

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,978,688,828,842, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

978:2x 3x 163

688:2x 2x 2x 2x 43

828:2x 2x 3x 3x 23

842:2x 421

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 320867568331776/(2x864)

LCM = 320867568331776/1728

LCM = 185687250192

Thus, we can understand that the LCM of 684,978,688,828,842 is 185687250192.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 684, 978, 688, 828, 842

1. What is the LCM of 684, 978, 688, 828, 842?

Answer: LCM of 684, 978, 688, 828, 842 is 185687250192.

2. How to calculate the LCM of 684, 978, 688, 828, 842?

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 684, 978, 688, 828, 842.

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}.